Victor Chamacho
Assignment HW5 Derivatives II due 02/09/2012 at 11:00pm MST
math1210spring2012-3
5. (1
pt) Library/UVA-Stew5e/setUVA-Stew5e-C03S04-DerivsTrig/3-41. (1 pt) Library/WHFreeman/Rogawski Calculus Early Transcendentals Second
Edition14.pg
/3 Differentiation/3.6 Trigonometric Functions/3.6.7.pg
Differentiate
From Rogawski ET 2e section 3.6, exercise 7.
If f (x) = 5 sin2 (x) then f 0 (x) =
f (x) = tan x(4 sin x + 5 cos x).
Answer(s) submitted:
f 0 (x) =
•
(incorrect)
Answer(s) submitted:
•
2. (1 pt) Library/ma122DB/set4b/s3 4 10.pg
If
(incorrect)
f (x) =
3 sin x
2 + cos x
6. (1 pt) Library/OSU/high school apcalc/dchmwk5/prob3.pg
Let g(s) = (4s − 3)9 .
Then g0 (s) is
and g00 (s) is
,
find f 0 (x).
Answer:
Answer(s) submitted:
Answer(s) submitted:
•
•
•
(incorrect)
(incorrect)
7. (1 pt) Library/maCalcDB/setDerivatives2Formulas/d3.pg
3. (1 pt) Library/ma122DB/set4b/s3 4 12.pg
Let
−4 tan x − 8
f (x) =
sec x
Given that
f (x) = x11 h(x)
f 0 (x) =
h(−1) = 3
Answer(s) submitted:
h0 (−1) = 6
•
(incorrect)
Calculate f 0 (−1).
4. (1 pt) Library/OSU/accelerated calculus and analytic geometry i/hmwk2/prob3.pg
If f (x) = tan(4x), find f 0 (x).
[HINT: Use the product rule and the power rule.]
Answer(s) submitted:
•
(incorrect)
Find f 0 (5).
8. (1 pt) Library/maCalcDB/setDerivatives2Formulas/c2s5p1.pg
Calculate G0 (1) to 3 significant figures where
G(x) = (2x − 2)10 (3x2 + 3x − 4)12
Answer(s) submitted:
Answer(s) submitted:
•
•
•
(incorrect)
(incorrect)
1
11. (1 pt) Library/ASU-topics/setChainRulePowerFunctions/3-6-27.pg
Suppose that
y = 6(x2 − 7x)−4 .
dy
Find .
dx
dy
=
dx
9. (1 pt) Library/270/setDerivatives2Formulas/s2 2 22.pg
If f (x) = 2 + 5x + x32 , find f 0 (x).
Find f 0 (4).
Answer(s) submitted:
•
(incorrect)
Answer(s) submitted:
•
•
12. (1 pt) Library/ASU-topics/setChainRulePowerFunctions/3-6-39.pg
Suppose that
1
.
y=
(6x3 + 5)6
dy
Find .
dx
dy
=
dx
(incorrect)
10. (1 pt) Library/ASU-topics/setChainRulePowerFunctions/3-6-79.pg
If 1100 dollars is invested at an annual interest rate r compounded monthly, the amount in the account at the end of 5
years is given by
60
1
A = 1100 1 + r
.
12
Answer(s) submitted:
•
(incorrect)
Find the rate of change of the amount A with respect to the rate
r for the following values of r:
r = 4.5 percent:
r = 7 percent:
13. (1 pt) Library/UCSB/Stewart5 3 5/Stewart5 3 5 26.pg
Differentiate G(y) =
Answer(s) submitted:
G0 (y) =
•
•
Answer(s) submitted:
•
(incorrect)
(incorrect)
c
Generated by WeBWorK,
http://webwork.maa.org, Mathematical Association of America
2
(y − 8)4
.
(y2 + 2y)5