Example 6 Video Example Find f'(x) if f(x) = In(17x1). Solution Since SIn(7x) if x > 0 f(x) | In(-7x) if x < 0 it follows that 1 d_(7x) if x > 0 xp f'(x) = 1 d -(-7x) dx if x < 0 1 Thus, f'(x) = {7!} for all x + 0. (7x) Need Help? Read It

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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Example 6
Video Example
Find f'(x) if f(x) = In(17x1).
Solution
Since
SIn(7x)
if x > 0
f(x)
| In(-7x) if x < 0
it follows that
1
d_(7x)
if x > 0
xp
f'(x) =
1
d
-(-7x)
dx
if x < 0
1
Thus, f'(x) =
{7!}
for all x + 0.
(7x)
Need Help?
Read It
Transcribed Image Text:Example 6 Video Example Find f'(x) if f(x) = In(17x1). Solution Since SIn(7x) if x > 0 f(x) | In(-7x) if x < 0 it follows that 1 d_(7x) if x > 0 xp f'(x) = 1 d -(-7x) dx if x < 0 1 Thus, f'(x) = {7!} for all x + 0. (7x) Need Help? Read It
Example 6
Video Example
Find f'(x) if f(x) = In(17x1).
Solution
Since
SIn(7x)
if x > 0
f(x)
| In(-7x) if x < 0
it follows that
1
d_(7x)
if x > 0
xp
f'(x) =
1
d
-(-7x)
dx
if x < 0
1
Thus, f'(x) =
{7!}
for all x + 0.
(7x)
Need Help?
Read It
Transcribed Image Text:Example 6 Video Example Find f'(x) if f(x) = In(17x1). Solution Since SIn(7x) if x > 0 f(x) | In(-7x) if x < 0 it follows that 1 d_(7x) if x > 0 xp f'(x) = 1 d -(-7x) dx if x < 0 1 Thus, f'(x) = {7!} for all x + 0. (7x) Need Help? Read It
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