Victor Camacho
Assignment Homework 3 due 09/13/2012 at 11:00pm MDT
math1220fall2012-2
8. (1 pt) Library/270/setDerivatives6InverseTrig/sc3 6 32a.pg
Let
f (x) = 3 cos(x) sin−1 (x)
1. (1 pt) Library/Rochester/setDerivatives4Trig/sc3 6 25.pg
If f (x) = 7 arcsin(x4 ), find f 0 (x).
f 0 (x) =
NOTE: The webwork system will accept arcsin(x) and not
sin−1 (x) as the inverse of sin(x).
Find f 0 (0.4).
10.
(1
dr
14
05.pg
/csuf
2. (1 pt) Library/WHFreeman/Rogawski Calculus Early Transcendentals Second EditionIf
/3 Differentiation/3.8 Derivatives of Inverse Functions/3.8.24.pg
Library/Rochester/setDerivatives14Hyperbolic-
f (t) = 4t secht
From Rogawski ET 2e section 3.8, exercise 24.
Find the derivative.
f (x) = cos−1 2x
then f 0 (t) =
11.
(1
/csuf dr 14 02.pg
3. (1 pt) Library/WHFreeman/Rogawski Calculus Early Transcendentals Second
EditionIf
/3 Differentiation/3.8 Derivatives of Inverse Functions/3.8.34.pg
f 0 (x) =
From Rogawski ET 2e section 3.8, exercise 34.
Calculate the derivative of:
f (x) =
pt)
then
cos−1 (15x)
.
sin−1 (15x)
.
pt)
Library/Rochester/setDerivatives14Hyperbolic-
f (x) = x cosh x + 7 sinh x
f 0 (x) =
13.
(1
/csuf dr 14 03.pg
.
pt)
Library/Rochester/setDerivatives14Hyperbolic-
If
f 0 (x) =
f (x) = sinh4 x
then f 0 (x) =
4. (1 pt) Library/OSU/accelerated calculus and analytic geometry i-
.
/hmwk6/prob10.pg
14. (1 pt) Library/UVA-Stew5e/setUVA-Stew5e-C03S09-HyperFuncts/3-9-40.pg
Let
−1
y = tan
Then
p
5x2 − 1
Find the derivative of
dy
dx =
f (x) = sinh(cosh(x)).
f 0 (x)
5. (1 pt) Library/UMN/calculusStewartCCC/s 3 6 18.pg
Differentiate f (x) = tan−1 (x3 ).
Answer: f 0 (x) =
=
15. (1 pt) Library/UVA-Stew5e/setUVA-Stew5e-C03S09-HyperFuncts/3-9-34.pg
Find the derivative of
6. (1 pt) Library/270/setDerivatives6InverseTrig/sc3 6 26.pg
If f (x) = 2x3 arctan(7x3 ), find f 0 (x).
f (x) = sinh(x) tanh(x).
f 0 (x) =
16. (1 pt) Library/UVA-Stew5e/setUVA-Stew5e-C03S09-HyperFuncts/3-9-41.pg
7. (1 pt) Library/270/setDerivatives6InverseTrig/sc3 6 27.pg
If f (x) = 2 arctan(5ex ), find f 0 (x).
Find the derivative of
f (x) = e8 cosh(7x)
f 0 (x) =
1
17. (1 pt) Library/Rochester/setIntegrals4FTC/S05.03.FundThmCalc.PTP18.pg21. (1 pt) Library/Rochester/setIntegrals12Methods/mec int3.pg
Evaluate the indefinite integral:
Evaluate the indefinite integral.
Z
7 − 2xex
dx =
x
Z
+ C.
19. (1 pt) Library/Rochester/setIntegrals12Methods/osu in 12 3.pg
Find the indicated integrals.
Z
ln(x3 )
(a)
dx =
+C
x
Z
et cos(et )
(b)
+C
dt =
2 + 7 sin(et ) Z 3/7
sin−1 37 x
√
(c)
dx =
0
9 − 49x2
20. (1 pt) Library/Rochester/setIntegrals12Methods/mec int2.pg
Evaluate the indefinite integral.
Z
Answer:
e7x
dx
e14x + 4
22. (1 pt) Library/Rochester/setIntegrals6Hyperbolic/csuf in 6 01.pg
Evaluate
the integral.
Z
cosh x sinh9 xdx =
+C.
23. (1 pt) Library/Rochester/setIntegrals6Hyperbolic/csuf in 6 04.pg
Evaluate the
√ integral.
Z
sinh 7x
√
dx =
+C.
7x
(arctan x)4
dx
1 + x2
24. (1 pt) Library/UMN/calculusStewartCCC/s
5 3 48.pg
Z
sin 2x
Find the general indefinite integral
dx.
cos x
Answer:
+C
c
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