Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
#17
![= 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66d30f65-22c6-47d5-b371-c8d8c2d2b3f2%2F95c8e8e6-4aad-4d18-bce8-8f5e9f2f9b85%2Fy4495h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:= 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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