If sqrtx-6/sqrtx+6, find f'(x) and f'(3).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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If sqrtx-6/sqrtx+6,

find f'(x) and f'(3). 

Expert Solution
Step 1

We have to find derivative of f(x) and f'(3), where f(x) is given by , 

Calculus homework question answer, Step 1, Image 1
Step 2

Now with the help of power rule and quotient rule we find derivatiive and derivative at given value of x,work is shown below:

Calculus homework question answer, Step 2, Image 1
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