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Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative exists. 3 f(x) = 2x³ +4

Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative exists. 3 f(x) = 2x³ +4

College Algebra
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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Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative exists. 3 f(x) = 2x³ +4 Find f'(x) using the definition of the derivative. 2 f'(x) = 6x Find f(-3) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your c OA. (-3)= (Simplify your answer.) OB. The derivative does not exist.
Transcribed Image Text:Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative exists. 3 f(x) = 2x³ +4 Find f'(x) using the definition of the derivative. 2 f'(x) = 6x Find f(-3) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your c OA. (-3)= (Simplify your answer.) OB. The derivative does not exist.
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