If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

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
If y 3
, then
dx
5x2-3
10r2
3V/5x2-34
35x2- 3) 5x2-3
10x
3
3(5x2-3)2
10r
3
35x2-3)
Transcribed Image Text:If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)
Expert Solution
Step 1

Find the derivative of the given function.

1
The given function y=-
5x-3
Derivative of the function with respect to x
dy d
1
dx d5x -3
(5-3)
Let 1u 5x-3
d
dy
u
dx dx
d
du
3
du
1 du
=--u
dx
3
du
1
=--u
3
n
Step 2

change the variable interms of x.

1du
dy
Substitute 5r2-3 in
--u
dx
dx
dy
d
1
:(5x2 -3)
dx
3(5x2-3)3
1
(10x
3(5.x2 -3)5
-10x
3(5x2-3)
10x
33(5x2 -3)
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