The function f is defined as f(x) =(a) Find f'(x).f'(x) =2e4x2(b) For what value of x is the slope of the tangent line to the graph of f equal to 3? (Round your answer to three decimal places.)X =(c) For what value(s) of x does the tangent line to the graph of f intersect the x-axis at the point (+ ( 1⁄2,0)(X =(Enter your answers as a comma-separated list.)

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Answered: The function f is defined as f(x) =…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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The function f is defined as f(x) = 2e4x² (a) Find f'(x). f'(x) = (b) For what value of x is the slope of the tangent line to the graph of f equal to 3? (Round your answer to three decimal places.) X =