Answered: Find the left-hand and the right-hand…

Find the left-hand and the right-hand derivative of the function. f(x) = (absolute value x) + 2 at the point x =0. Does the derivative exist at x = 0?

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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Question

Find the left-hand and the right-hand derivative of the function.

f(x) = (absolute value x) + 2

at the point x =0. Does the derivative exist at x = 0?

Expert Solution

Step 1

The given function $f (x) = |x| + 2$ .

We have to find the left and right derivative $f (x)$ at the point $x = 0$ .

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