Answer
$60$
Work Step by Step
Given $f(x)=3x^3-6x^2+2$,
we can find its derivative as
$f'(x)=9x^2-12x$ and
$f'(-2)=9(-2)^2-12(-2)=60$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.4 The Tangent Problem; The Derivative - 13.4 Assess Your Understanding - Page 917: 33
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