Consider the following function. f(x) = |x² – 9| (a) Find a formula for f'. if |x| > f'(x) = « if |x| < For what values of x is the function not differentiable? (Enter your answers as a comma-separated list.) X =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Consider the following function.
f(x) = |x2 – 9|
(a) Find a formula for f'.
if |x| >
f'(x) =
if |x| <
For what values of x is the function not differentiable? (Enter your answers as a comma-separated list.)
X =
Transcribed Image Text:Consider the following function. f(x) = |x2 – 9| (a) Find a formula for f'. if |x| > f'(x) = if |x| < For what values of x is the function not differentiable? (Enter your answers as a comma-separated list.) X =
Expert Solution
Step 1

Given:

  • f(x)=x2-9

The objective is to find the formula for f' and to find the values of at which the function is not differentiable.

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