Let (-2x2 + 3x for a < 0, 6x2 – 2 f(x) = for x > 0. According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim 2x-3 , which is 3 and the right-hand limit lim 6x which is We conclude that f'(0) is undefined Note: If a limit or derivative is undefined, enter 'undefined' as your answer.

Let (-2x2 + 3x for a < 0, 6x2 – 2 f(x) = for x > 0. According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim 2x-3 , which is 3 and the right-hand limit lim 6x which is We conclude that f'(0) is undefined Note: If a limit or derivative is undefined, enter 'undefined' as your answer.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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