Find values at x where the fuction is NOT differentiable(in any) f(x)= lx-2l +3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 5E
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Find values at x where the fuction is NOT differentiable(in any)

f(x)= lx-2l +3

Expert Solution
Step 1

Given function is

Calculus homework question answer, step 1, image 1

By definition, we have

Calculus homework question answer, step 1, image 2

Therefore,

Calculus homework question answer, step 1, image 3

Step 2

Clearly, f(x) is differentiable for every x >2 and every x<2.

Now we will find left hand derivative and right hand derivative of f at x=2.

Calculus homework question answer, step 2, image 1

Therefore, f is not differentiable for x=2.

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