#21 = πχ= JX-1,for answers.)xatddxd[x√²] = √√2x√²-1 -=[x²] =-ex-e-1dx3. Use logarithmic differentiation to find the derivative of√x + 13√x - 128.4. limh→0In (1 + h)hx²=17. y=1+ log x=19. y = ln(ln x)21. y = ln(tan x)23. y = cos(ln x)25. y =log(sin²x)f(x) =ddxddx1318. y =20. y =27-30 Use the method of Example 3 to help perform theindicated differentiation.27. [In((x - 1)³(x² + 1) ¹)]11:00-[In((cos²x)√1+x4)]log x1 +1 + log xln (ln(ln x))22. y =ln (cos x)24. y = sin² (In x)26. y = log(1-sin² x)

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Math

Calculus

#21

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 59CR

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Question

#21

= πχ
= JX-1,
for answers.)
xat
d
dx
d
[x√²] = √√2x√²-1 -=[x²] =-ex-e-1
dx
3. Use logarithmic differentiation to find the derivative of
√x + 1
3√x - 1
28.
4. lim
h→0
In (1 + h)
h
x²
=
17. y=
1+ log x=
19. y = ln(ln x)
21. y = ln(tan x)
23. y = cos(ln x)
25. y =
log(sin²x)
f(x) =
d
dx
d
dx
13
18. y =
20. y =
27-30 Use the method of Example 3 to help perform the
indicated differentiation.
27. [In((x - 1)³(x² + 1) ¹)]
11:00
-[In((cos²x)√1+x4)]
log x
1 +
1 + log x
ln (ln(ln x))
22. y =
ln (cos x)
24. y = sin² (In x)
26. y = log(1-sin² x)

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