Derivative Practice Problems (300 Total)
1. f(x) = sqrt(x**2 + 3*x + 1)
2. f(x) = (x**2 + 3*x + 1)**4
3. f(x) = cos(x**2)
4. f(x) = sin(2*x)
5. f(x) = log(x)/x
6. f(x) = exp(x**2)
7. f(x) = cos(3*x**2)
8. f(x) = atan(x**3)
9. f(x) = sin(3*x)
10. f(x) = sin(2*x)
11. f(x) = (x**2 + 3*x + 1)**2
12. f(x) = (x**2 + x + 1)**3
13. f(x) = log(x**2 + 5)
14. f(x) = log(x**2 + 4)
15. f(x) = x**2*log(x)
16. f(x) = x**2*log(x)
17. f(x) = cos(3*x**2)
18. f(x) = sin(2*x)
19. f(x) = sin(2*x)
20. f(x) = exp(3*x**2)
21. f(x) = atan(x**3)
22. f(x) = x**2*log(x)
23. f(x) = sin(x)
24. f(x) = log(x**2 + 1)
25. f(x) = (x**2 + 2*x + 1)**2
26. f(x) = log(x**2 + 2)
27. f(x) = atan(x**3)
28. f(x) = log(x**2 + 1)
29. f(x) = sin(2*x)
30. f(x) = log(x)/x
31. f(x) = log(x**2 + 3)
32. f(x) = (x**2 + 3*x + 1)**2
33. f(x) = cos(2*x**2)
34. f(x) = cos(x**2)
35. f(x) = x**2*log(x)
36. f(x) = (x**2 + 2*x + 1)**3
37. f(x) = (x**2 + 3*x + 1)**2
38. f(x) = x**2*log(x)
39. f(x) = log(x**2 + 2)
40. f(x) = exp(x**2)
41. f(x) = x**5 + 3*x - 5
42. f(x) = sin(3*x)
43. f(x) = cos(2*x**2)
44. f(x) = cos(x**2)
45. f(x) = atan(x)
46. f(x) = atan(x**3)
47. f(x) = x**4 + x + 2
48. f(x) = sin(3*x)
49. f(x) = sqrt(x**2 + 3*x + 1)
50. f(x) = atan(x**2)
51. f(x) = log(x)/x
52. f(x) = log(x)/x
53. f(x) = exp(3*x**2)
54. f(x) = cos(3*x**2)
55. f(x) = log(x**2 + 4)
56. f(x) = x**2*log(x)
57. f(x) = sqrt(x**2 + 3*x + 1)
58. f(x) = (x**2 + x + 1)**3
59. f(x) = log(x**2 + 1)
60. f(x) = x**2*log(x)
61. f(x) = sqrt(x**2 + x + 1)
62. f(x) = x**2*log(x)
63. f(x) = cos(2*x**2)
64. f(x) = sqrt(x**2 + x + 1)
65. f(x) = x**5 + 4*x + 4
66. f(x) = log(x**2 + 2)
67. f(x) = exp(x**2)
68. f(x) = log(x)/x
69. f(x) = sin(2*x)
70. f(x) = atan(x**3)
71. f(x) = sin(x)
72. f(x) = atan(x)
73. f(x) = x**2*log(x)
74. f(x) = log(x**2 + 2)
75. f(x) = sin(2*x)
76. f(x) = log(x**2 + 3)
77. f(x) = exp(x**2)
78. f(x) = sin(x)
79. f(x) = (x**2 + 2*x + 1)**2
80. f(x) = x**4 + 4*x + 2
81. f(x) = atan(x**3)
82. f(x) = x**2*log(x)
83. f(x) = cos(3*x**2)
84. f(x) = sqrt(x**2 + 3*x + 1)
85. f(x) = sin(2*x)
86. f(x) = sqrt(x**2 + x + 1)
87. f(x) = log(x)/x
88. f(x) = sin(x)
89. f(x) = log(x)/x
90. f(x) = cos(3*x**2)
91. f(x) = x**5 + 5*x - 5
92. f(x) = x**2*log(x)
93. f(x) = exp(2*x**2)
94. f(x) = cos(2*x**2)
95. f(x) = x**2*log(x)
96. f(x) = atan(x**2)
97. f(x) = atan(x**3)
98. f(x) = atan(x**3)
99. f(x) = log(x**2 + 4)
100. f(x) = x**2*log(x)
101. f(x) = sin(3*x)
102. f(x) = log(x**2 + 4)
103. f(x) = (x**2 + 3*x + 1)**2
104. f(x) = atan(x)
105. f(x) = x**2*log(x)
106. f(x) = x**3 + 3*x + 2
107. f(x) = sqrt(x**2 + 3*x + 1)
108. f(x) = atan(x**2)
109. f(x) = exp(3*x**2)
110. f(x) = sqrt(x**2 + 2*x + 1)
111. f(x) = x**2*log(x)
112. f(x) = exp(x**2)
113. f(x) = exp(3*x**2)
114. f(x) = exp(2*x**2)
115. f(x) = exp(x**2)
116. f(x) = sqrt(x**2 + x + 1)
117. f(x) = log(x)/x
118. f(x) = log(x)/x
119. f(x) = cos(3*x**2)
120. f(x) = x**2 + 4*x
121. f(x) = x**2*log(x)
122. f(x) = x**2*log(x)
123. f(x) = (x**2 + x + 1)**2
124. f(x) = atan(x)
125. f(x) = atan(x)
126. f(x) = log(x)/x
127. f(x) = sin(x)
128. f(x) = cos(2*x**2)
129. f(x) = sqrt(x**2 + 2*x + 1)
130. f(x) = log(x**2 + 2)
131. f(x) = sqrt(x**2 + 2*x + 1)
132. f(x) = sqrt(x**2 + x + 1)
133. f(x) = sqrt(x**2 + 3*x + 1)
134. f(x) = sin(x)
135. f(x) = log(x**2 + 1)
136. f(x) = log(x**2 + 4)
137. f(x) = log(x**2 + 3)
138. f(x) = cos(x**2)
139. f(x) = exp(x**2)
140. f(x) = exp(x**2)
141. f(x) = x**4 + 5*x + 5
142. f(x) = x**2*log(x)
143. f(x) = atan(x**2)
144. f(x) = (x**2 + x + 1)**2
145. f(x) = sin(2*x)
146. f(x) = exp(3*x**2)
147. f(x) = atan(x**2)
148. f(x) = x**2*log(x)
149. f(x) = cos(x**2)
150. f(x) = cos(x**2)
151. f(x) = sqrt(x**2 + 2*x + 1)
152. f(x) = atan(x)
153. f(x) = exp(x**2)
154. f(x) = log(x**2 + 2)
155. f(x) = sin(x)
156. f(x) = log(x**2 + 3)
157. f(x) = sin(2*x)
158. f(x) = sqrt(x**2 + x + 1)
159. f(x) = log(x**2 + 3)
160. f(x) = (x**2 + 3*x + 1)**4
161. f(x) = x**4 + 5*x + 5
162. f(x) = x**3 + x + 3
163. f(x) = exp(2*x**2)
164. f(x) = x**4 + x - 1
165. f(x) = exp(2*x**2)
166. f(x) = sqrt(x**2 + 3*x + 1)
167. f(x) = log(x)/x
168. f(x) = x**2*log(x)
169. f(x) = exp(2*x**2)
170. f(x) = cos(2*x**2)
171. f(x) = atan(x**2)
172. f(x) = exp(2*x**2)
173. f(x) = sin(2*x)
174. f(x) = cos(x**2)
175. f(x) = (x**2 + 2*x + 1)**3
176. f(x) = (x**2 + 2*x + 1)**3
177. f(x) = cos(3*x**2)
178. f(x) = log(x)/x
179. f(x) = log(x)/x
180. f(x) = log(x)/x
181. f(x) = exp(2*x**2)
182. f(x) = sqrt(x**2 + x + 1)
183. f(x) = atan(x**2)
184. f(x) = sin(x)
185. f(x) = x**2*log(x)
186. f(x) = cos(x**2)
187. f(x) = atan(x**2)
188. f(x) = sin(2*x)
189. f(x) = atan(x**3)
190. f(x) = x**2*log(x)
191. f(x) = x**2*log(x)
192. f(x) = log(x)/x
193. f(x) = x**2 + 3*x + 3
194. f(x) = sin(x)
195. f(x) = exp(2*x**2)
196. f(x) = x**2 + 4*x + 3
197. f(x) = x**2*log(x)
198. f(x) = x**2*log(x)
199. f(x) = log(x)/x
200. f(x) = exp(x**2)
201. f(x) = log(x)/x
202. f(x) = x**2*log(x)
203. f(x) = x**3 + 2*x + 1
204. f(x) = (x**2 + 2*x + 1)**4
205. f(x) = x**2 + 4*x
206. f(x) = x**3 + 2*x - 4
207. f(x) = (x**2 + x + 1)**4
208. f(x) = (x**2 + x + 1)**2
209. f(x) = atan(x)
210. f(x) = atan(x**3)
211. f(x) = atan(x**3)
212. f(x) = sqrt(x**2 + 2*x + 1)
213. f(x) = sin(x)
214. f(x) = exp(2*x**2)
215. f(x) = exp(2*x**2)
216. f(x) = atan(x)
217. f(x) = sqrt(x**2 + x + 1)
218. f(x) = (x**2 + 2*x + 1)**3
219. f(x) = log(x)/x
220. f(x) = sqrt(x**2 + 3*x + 1)
221. f(x) = x**5 + 3*x + 5
222. f(x) = x**2*log(x)
223. f(x) = sin(x)
224. f(x) = log(x**2 + 1)
225. f(x) = log(x)/x
226. f(x) = atan(x**3)
227. f(x) = x**2*log(x)
228. f(x) = exp(3*x**2)
229. f(x) = atan(x**2)
230. f(x) = atan(x)
231. f(x) = cos(x**2)
232. f(x) = exp(x**2)
233. f(x) = atan(x**2)
234. f(x) = log(x**2 + 4)
235. f(x) = sqrt(x**2 + 2*x + 1)
236. f(x) = x**3 + x
237. f(x) = log(x)/x
238. f(x) = sin(2*x)
239. f(x) = log(x**2 + 4)
240. f(x) = log(x**2 + 3)
241. f(x) = sqrt(x**2 + 3*x + 1)
242. f(x) = atan(x**2)
243. f(x) = x**2*log(x)
244. f(x) = atan(x)
245. f(x) = log(x)/x
246. f(x) = cos(3*x**2)
247. f(x) = x**2*log(x)
248. f(x) = cos(2*x**2)
249. f(x) = sin(2*x)
250. f(x) = x**2 + 2*x
251. f(x) = atan(x)
252. f(x) = sqrt(x**2 + 3*x + 1)
253. f(x) = x**2*log(x)
254. f(x) = (x**2 + 3*x + 1)**3
255. f(x) = atan(x)
256. f(x) = log(x**2 + 1)
257. f(x) = x**2*log(x)
258. f(x) = sin(3*x)
259. f(x) = sqrt(x**2 + 2*x + 1)
260. f(x) = sin(3*x)
261. f(x) = (x**2 + 3*x + 1)**2
262. f(x) = sqrt(x**2 + 3*x + 1)
263. f(x) = sqrt(x**2 + 2*x + 1)
264. f(x) = log(x**2 + 5)
265. f(x) = x**2*log(x)
266. f(x) = cos(3*x**2)
267. f(x) = sqrt(x**2 + 2*x + 1)
268. f(x) = exp(2*x**2)
269. f(x) = atan(x)
270. f(x) = log(x)/x
271. f(x) = sqrt(x**2 + x + 1)
272. f(x) = atan(x**3)
273. f(x) = x**2*log(x)
274. f(x) = sqrt(x**2 + 2*x + 1)
275. f(x) = (x**2 + 2*x + 1)**2
276. f(x) = x**2*log(x)
277. f(x) = x**2*log(x)
278. f(x) = x**3 + 4*x + 1
279. f(x) = sqrt(x**2 + x + 1)
280. f(x) = sin(x)
281. f(x) = sin(3*x)
282. f(x) = log(x)/x
283. f(x) = atan(x**2)
284. f(x) = x**2*log(x)
285. f(x) = log(x)/x
286. f(x) = log(x**2 + 3)
287. f(x) = sqrt(x**2 + 2*x + 1)
288. f(x) = log(x)/x
289. f(x) = x**2*log(x)
290. f(x) = x**2 + x + 1
291. f(x) = log(x)/x
292. f(x) = (x**2 + 3*x + 1)**4
293. f(x) = sqrt(x**2 + x + 1)
294. f(x) = (x**2 + x + 1)**3
295. f(x) = cos(2*x**2)
296. f(x) = cos(3*x**2)
297. f(x) = exp(3*x**2)
298. f(x) = sin(2*x)
299. f(x) = (x**2 + 3*x + 1)**3
300. f(x) = sqrt(x**2 + 2*x + 1)
Answer Key
1. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
2. f'(x) = (8*x + 12)*(x**2 + 3*x + 1)**3
3. f'(x) = -2*x*sin(x**2)
4. f'(x) = 2*cos(2*x)
5. f'(x) = -log(x)/x**2 + x**(-2)
6. f'(x) = 2*x*exp(x**2)
7. f'(x) = -6*x*sin(3*x**2)
8. f'(x) = 3*x**2/(x**6 + 1)
9. f'(x) = 3*cos(3*x)
10. f'(x) = 2*cos(2*x)
11. f'(x) = (4*x + 6)*(x**2 + 3*x + 1)
12. f'(x) = (6*x + 3)*(x**2 + x + 1)**2
13. f'(x) = 2*x/(x**2 + 5)
14. f'(x) = 2*x/(x**2 + 4)
15. f'(x) = 2*x*log(x) + x
16. f'(x) = 2*x*log(x) + x
17. f'(x) = -6*x*sin(3*x**2)
18. f'(x) = 2*cos(2*x)
19. f'(x) = 2*cos(2*x)
20. f'(x) = 6*x*exp(3*x**2)
21. f'(x) = 3*x**2/(x**6 + 1)
22. f'(x) = 2*x*log(x) + x
23. f'(x) = cos(x)
24. f'(x) = 2*x/(x**2 + 1)
25. f'(x) = (4*x + 4)*(x**2 + 2*x + 1)
26. f'(x) = 2*x/(x**2 + 2)
27. f'(x) = 3*x**2/(x**6 + 1)
28. f'(x) = 2*x/(x**2 + 1)
29. f'(x) = 2*cos(2*x)
30. f'(x) = -log(x)/x**2 + x**(-2)
31. f'(x) = 2*x/(x**2 + 3)
32. f'(x) = (4*x + 6)*(x**2 + 3*x + 1)
33. f'(x) = -4*x*sin(2*x**2)
34. f'(x) = -2*x*sin(x**2)
35. f'(x) = 2*x*log(x) + x
36. f'(x) = (6*x + 6)*(x**2 + 2*x + 1)**2
37. f'(x) = (4*x + 6)*(x**2 + 3*x + 1)
38. f'(x) = 2*x*log(x) + x
39. f'(x) = 2*x/(x**2 + 2)
40. f'(x) = 2*x*exp(x**2)
41. f'(x) = 5*x**4 + 3
42. f'(x) = 3*cos(3*x)
43. f'(x) = -4*x*sin(2*x**2)
44. f'(x) = -2*x*sin(x**2)
45. f'(x) = 1/(x**2 + 1)
46. f'(x) = 3*x**2/(x**6 + 1)
47. f'(x) = 4*x**3 + 1
48. f'(x) = 3*cos(3*x)
49. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
50. f'(x) = 2*x/(x**4 + 1)
51. f'(x) = -log(x)/x**2 + x**(-2)
52. f'(x) = -log(x)/x**2 + x**(-2)
53. f'(x) = 6*x*exp(3*x**2)
54. f'(x) = -6*x*sin(3*x**2)
55. f'(x) = 2*x/(x**2 + 4)
56. f'(x) = 2*x*log(x) + x
57. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
58. f'(x) = (6*x + 3)*(x**2 + x + 1)**2
59. f'(x) = 2*x/(x**2 + 1)
60. f'(x) = 2*x*log(x) + x
61. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
62. f'(x) = 2*x*log(x) + x
63. f'(x) = -4*x*sin(2*x**2)
64. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
65. f'(x) = 5*x**4 + 4
66. f'(x) = 2*x/(x**2 + 2)
67. f'(x) = 2*x*exp(x**2)
68. f'(x) = -log(x)/x**2 + x**(-2)
69. f'(x) = 2*cos(2*x)
70. f'(x) = 3*x**2/(x**6 + 1)
71. f'(x) = cos(x)
72. f'(x) = 1/(x**2 + 1)
73. f'(x) = 2*x*log(x) + x
74. f'(x) = 2*x/(x**2 + 2)
75. f'(x) = 2*cos(2*x)
76. f'(x) = 2*x/(x**2 + 3)
77. f'(x) = 2*x*exp(x**2)
78. f'(x) = cos(x)
79. f'(x) = (4*x + 4)*(x**2 + 2*x + 1)
80. f'(x) = 4*x**3 + 4
81. f'(x) = 3*x**2/(x**6 + 1)
82. f'(x) = 2*x*log(x) + x
83. f'(x) = -6*x*sin(3*x**2)
84. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
85. f'(x) = 2*cos(2*x)
86. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
87. f'(x) = -log(x)/x**2 + x**(-2)
88. f'(x) = cos(x)
89. f'(x) = -log(x)/x**2 + x**(-2)
90. f'(x) = -6*x*sin(3*x**2)
91. f'(x) = 5*x**4 + 5
92. f'(x) = 2*x*log(x) + x
93. f'(x) = 4*x*exp(2*x**2)
94. f'(x) = -4*x*sin(2*x**2)
95. f'(x) = 2*x*log(x) + x
96. f'(x) = 2*x/(x**4 + 1)
97. f'(x) = 3*x**2/(x**6 + 1)
98. f'(x) = 3*x**2/(x**6 + 1)
99. f'(x) = 2*x/(x**2 + 4)
100. f'(x) = 2*x*log(x) + x
101. f'(x) = 3*cos(3*x)
102. f'(x) = 2*x/(x**2 + 4)
103. f'(x) = (4*x + 6)*(x**2 + 3*x + 1)
104. f'(x) = 1/(x**2 + 1)
105. f'(x) = 2*x*log(x) + x
106. f'(x) = 3*x**2 + 3
107. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
108. f'(x) = 2*x/(x**4 + 1)
109. f'(x) = 6*x*exp(3*x**2)
110. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
111. f'(x) = 2*x*log(x) + x
112. f'(x) = 2*x*exp(x**2)
113. f'(x) = 6*x*exp(3*x**2)
114. f'(x) = 4*x*exp(2*x**2)
115. f'(x) = 2*x*exp(x**2)
116. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
117. f'(x) = -log(x)/x**2 + x**(-2)
118. f'(x) = -log(x)/x**2 + x**(-2)
119. f'(x) = -6*x*sin(3*x**2)
120. f'(x) = 2*x + 4
121. f'(x) = 2*x*log(x) + x
122. f'(x) = 2*x*log(x) + x
123. f'(x) = (4*x + 2)*(x**2 + x + 1)
124. f'(x) = 1/(x**2 + 1)
125. f'(x) = 1/(x**2 + 1)
126. f'(x) = -log(x)/x**2 + x**(-2)
127. f'(x) = cos(x)
128. f'(x) = -4*x*sin(2*x**2)
129. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
130. f'(x) = 2*x/(x**2 + 2)
131. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
132. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
133. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
134. f'(x) = cos(x)
135. f'(x) = 2*x/(x**2 + 1)
136. f'(x) = 2*x/(x**2 + 4)
137. f'(x) = 2*x/(x**2 + 3)
138. f'(x) = -2*x*sin(x**2)
139. f'(x) = 2*x*exp(x**2)
140. f'(x) = 2*x*exp(x**2)
141. f'(x) = 4*x**3 + 5
142. f'(x) = 2*x*log(x) + x
143. f'(x) = 2*x/(x**4 + 1)
144. f'(x) = (4*x + 2)*(x**2 + x + 1)
145. f'(x) = 2*cos(2*x)
146. f'(x) = 6*x*exp(3*x**2)
147. f'(x) = 2*x/(x**4 + 1)
148. f'(x) = 2*x*log(x) + x
149. f'(x) = -2*x*sin(x**2)
150. f'(x) = -2*x*sin(x**2)
151. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
152. f'(x) = 1/(x**2 + 1)
153. f'(x) = 2*x*exp(x**2)
154. f'(x) = 2*x/(x**2 + 2)
155. f'(x) = cos(x)
156. f'(x) = 2*x/(x**2 + 3)
157. f'(x) = 2*cos(2*x)
158. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
159. f'(x) = 2*x/(x**2 + 3)
160. f'(x) = (8*x + 12)*(x**2 + 3*x + 1)**3
161. f'(x) = 4*x**3 + 5
162. f'(x) = 3*x**2 + 1
163. f'(x) = 4*x*exp(2*x**2)
164. f'(x) = 4*x**3 + 1
165. f'(x) = 4*x*exp(2*x**2)
166. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
167. f'(x) = -log(x)/x**2 + x**(-2)
168. f'(x) = 2*x*log(x) + x
169. f'(x) = 4*x*exp(2*x**2)
170. f'(x) = -4*x*sin(2*x**2)
171. f'(x) = 2*x/(x**4 + 1)
172. f'(x) = 4*x*exp(2*x**2)
173. f'(x) = 2*cos(2*x)
174. f'(x) = -2*x*sin(x**2)
175. f'(x) = (6*x + 6)*(x**2 + 2*x + 1)**2
176. f'(x) = (6*x + 6)*(x**2 + 2*x + 1)**2
177. f'(x) = -6*x*sin(3*x**2)
178. f'(x) = -log(x)/x**2 + x**(-2)
179. f'(x) = -log(x)/x**2 + x**(-2)
180. f'(x) = -log(x)/x**2 + x**(-2)
181. f'(x) = 4*x*exp(2*x**2)
182. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
183. f'(x) = 2*x/(x**4 + 1)
184. f'(x) = cos(x)
185. f'(x) = 2*x*log(x) + x
186. f'(x) = -2*x*sin(x**2)
187. f'(x) = 2*x/(x**4 + 1)
188. f'(x) = 2*cos(2*x)
189. f'(x) = 3*x**2/(x**6 + 1)
190. f'(x) = 2*x*log(x) + x
191. f'(x) = 2*x*log(x) + x
192. f'(x) = -log(x)/x**2 + x**(-2)
193. f'(x) = 2*x + 3
194. f'(x) = cos(x)
195. f'(x) = 4*x*exp(2*x**2)
196. f'(x) = 2*x + 4
197. f'(x) = 2*x*log(x) + x
198. f'(x) = 2*x*log(x) + x
199. f'(x) = -log(x)/x**2 + x**(-2)
200. f'(x) = 2*x*exp(x**2)
201. f'(x) = -log(x)/x**2 + x**(-2)
202. f'(x) = 2*x*log(x) + x
203. f'(x) = 3*x**2 + 2
204. f'(x) = (8*x + 8)*(x**2 + 2*x + 1)**3
205. f'(x) = 2*x + 4
206. f'(x) = 3*x**2 + 2
207. f'(x) = (8*x + 4)*(x**2 + x + 1)**3
208. f'(x) = (4*x + 2)*(x**2 + x + 1)
209. f'(x) = 1/(x**2 + 1)
210. f'(x) = 3*x**2/(x**6 + 1)
211. f'(x) = 3*x**2/(x**6 + 1)
212. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
213. f'(x) = cos(x)
214. f'(x) = 4*x*exp(2*x**2)
215. f'(x) = 4*x*exp(2*x**2)
216. f'(x) = 1/(x**2 + 1)
217. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
218. f'(x) = (6*x + 6)*(x**2 + 2*x + 1)**2
219. f'(x) = -log(x)/x**2 + x**(-2)
220. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
221. f'(x) = 5*x**4 + 3
222. f'(x) = 2*x*log(x) + x
223. f'(x) = cos(x)
224. f'(x) = 2*x/(x**2 + 1)
225. f'(x) = -log(x)/x**2 + x**(-2)
226. f'(x) = 3*x**2/(x**6 + 1)
227. f'(x) = 2*x*log(x) + x
228. f'(x) = 6*x*exp(3*x**2)
229. f'(x) = 2*x/(x**4 + 1)
230. f'(x) = 1/(x**2 + 1)
231. f'(x) = -2*x*sin(x**2)
232. f'(x) = 2*x*exp(x**2)
233. f'(x) = 2*x/(x**4 + 1)
234. f'(x) = 2*x/(x**2 + 4)
235. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
236. f'(x) = 3*x**2 + 1
237. f'(x) = -log(x)/x**2 + x**(-2)
238. f'(x) = 2*cos(2*x)
239. f'(x) = 2*x/(x**2 + 4)
240. f'(x) = 2*x/(x**2 + 3)
241. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
242. f'(x) = 2*x/(x**4 + 1)
243. f'(x) = 2*x*log(x) + x
244. f'(x) = 1/(x**2 + 1)
245. f'(x) = -log(x)/x**2 + x**(-2)
246. f'(x) = -6*x*sin(3*x**2)
247. f'(x) = 2*x*log(x) + x
248. f'(x) = -4*x*sin(2*x**2)
249. f'(x) = 2*cos(2*x)
250. f'(x) = 2*x + 2
251. f'(x) = 1/(x**2 + 1)
252. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
253. f'(x) = 2*x*log(x) + x
254. f'(x) = (6*x + 9)*(x**2 + 3*x + 1)**2
255. f'(x) = 1/(x**2 + 1)
256. f'(x) = 2*x/(x**2 + 1)
257. f'(x) = 2*x*log(x) + x
258. f'(x) = 3*cos(3*x)
259. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
260. f'(x) = 3*cos(3*x)
261. f'(x) = (4*x + 6)*(x**2 + 3*x + 1)
262. f'(x) = (x + 3/2)/sqrt(x**2 + 3*x + 1)
263. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
264. f'(x) = 2*x/(x**2 + 5)
265. f'(x) = 2*x*log(x) + x
266. f'(x) = -6*x*sin(3*x**2)
267. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
268. f'(x) = 4*x*exp(2*x**2)
269. f'(x) = 1/(x**2 + 1)
270. f'(x) = -log(x)/x**2 + x**(-2)
271. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
272. f'(x) = 3*x**2/(x**6 + 1)
273. f'(x) = 2*x*log(x) + x
274. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
275. f'(x) = (4*x + 4)*(x**2 + 2*x + 1)
276. f'(x) = 2*x*log(x) + x
277. f'(x) = 2*x*log(x) + x
278. f'(x) = 3*x**2 + 4
279. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
280. f'(x) = cos(x)
281. f'(x) = 3*cos(3*x)
282. f'(x) = -log(x)/x**2 + x**(-2)
283. f'(x) = 2*x/(x**4 + 1)
284. f'(x) = 2*x*log(x) + x
285. f'(x) = -log(x)/x**2 + x**(-2)
286. f'(x) = 2*x/(x**2 + 3)
287. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)
288. f'(x) = -log(x)/x**2 + x**(-2)
289. f'(x) = 2*x*log(x) + x
290. f'(x) = 2*x + 1
291. f'(x) = -log(x)/x**2 + x**(-2)
292. f'(x) = (8*x + 12)*(x**2 + 3*x + 1)**3
293. f'(x) = (x + 1/2)/sqrt(x**2 + x + 1)
294. f'(x) = (6*x + 3)*(x**2 + x + 1)**2
295. f'(x) = -4*x*sin(2*x**2)
296. f'(x) = -6*x*sin(3*x**2)
297. f'(x) = 6*x*exp(3*x**2)
298. f'(x) = 2*cos(2*x)
299. f'(x) = (6*x + 9)*(x**2 + 3*x + 1)**2
300. f'(x) = (x + 1)/sqrt(x**2 + 2*x + 1)