Kuta Software - Infinite Calculus
Name___________________________________
Differentiation - Power, Constant, and Sum Rules
Date________________ Period____
Differentiate each function with respect to x.
1) y = 5
2) f ( x) = 5 x 18
3) y = 4 x 5 + x
4) f ( x) = 4 x 4 − 5 x − 3
5) y = 3 x
5
4
7) y = −4 x
9) y = x
2
5
6) y = x 3
4
−5
2
3
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8) y =
3
x3
10) f ( x) = −2
-1-
4
x
Worksheet by Kuta Software LLC
11) y =
2 4
−3
x + 5x − x
3
5
1
12) y = − x 4 + 3 x 3 + 2 x
2
Differentiate each function with respect to the given variable.
13) y = −3r 5 − 5r 2
3
3
2
3
15) f ( x) = x 2 − x 5
3
4
14) f (s) = −
4
3
− 4
2
s
s
16) h(s) =
2⋅
3
s+
2⋅
5
s
Differentiate each function with respect to x. Problems may contain constants a, b, and c.
17) y = 5c
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18) y = 4a x 3a − b x 3c
-2-
Worksheet by Kuta Software LLC