Let -2x² + 3x for æ < 0, | 6x² – 2 f(x) = for a > 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 and the right-hand limit lim 6x which is 0 We conclude that f'(0) is undefined Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
Let -2x² + 3x for æ < 0, | 6x² – 2 f(x) = for a > 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 and the right-hand limit lim 6x which is 0 We conclude that f'(0) is undefined Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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