Answer
$x=-\displaystyle \frac{1}{6}$
Work Step by Step
$y=f(x)=-3x^{2}-x \\$
$f^{\prime}(x)=-3(2x)-1=-6x-1 \\$
$f^{\prime}(x)=0$ for ... (solve for x)$\\$
$-6x-1=0 \\$
$-6x=1\\$
$x=-\displaystyle \frac{1}{6}$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 11 - Section 11.1 - Derivatives of Powers, Sums, and Constant Multiples - Exercises - Page 795: 66
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