Do not use technology. Consider the following table. (a) If h(x) = h'(2) f(x) g(x) X 2 5 f(x) f'(x) g(x) -3 9 find h'(2). (b) If j(x) = f(g(x)), find j'(2). j'(2) = (c) If k(x) = √√√f(x), find k'(5). k'(5) = 3 8 5 -3 g'(x) -2
Do not use technology. Consider the following table. (a) If h(x) = h'(2) f(x) g(x) X 2 5 f(x) f'(x) g(x) -3 9 find h'(2). (b) If j(x) = f(g(x)), find j'(2). j'(2) = (c) If k(x) = √√√f(x), find k'(5). k'(5) = 3 8 5 -3 g'(x) -2
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...
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Question
![**Do not use technology.**
Consider the following table:
| x | f(x) | f'(x) | g(x) | g'(x) |
|---|------|-------|------|-------|
| 2 | -3 | 3 | 5 | -2 |
| 5 | 9 | 8 | -3 | 2 |
(a) If \( h(x) = \frac{f(x)}{g(x)} \), find \( h'(2) \).
\[ h'(2) = \_\_\_\_\_\_\_\_ \]
(b) If \( j(x) = f(g(x)) \), find \( j'(2) \).
\[ j'(2) = \_\_\_\_\_\_\_\_ \]
(c) If \( k(x) = \sqrt{f(x)} \), find \( k'(5) \).
\[ k'(5) = \_\_\_\_\_\_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf9dafc6-bac8-41ec-a856-62d58445bc24%2F3abe7659-00e5-4db5-811b-d0921f9a530e%2Fmqkei8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Do not use technology.**
Consider the following table:
| x | f(x) | f'(x) | g(x) | g'(x) |
|---|------|-------|------|-------|
| 2 | -3 | 3 | 5 | -2 |
| 5 | 9 | 8 | -3 | 2 |
(a) If \( h(x) = \frac{f(x)}{g(x)} \), find \( h'(2) \).
\[ h'(2) = \_\_\_\_\_\_\_\_ \]
(b) If \( j(x) = f(g(x)) \), find \( j'(2) \).
\[ j'(2) = \_\_\_\_\_\_\_\_ \]
(c) If \( k(x) = \sqrt{f(x)} \), find \( k'(5) \).
\[ k'(5) = \_\_\_\_\_\_\_\_ \]
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