Answer
$0.875$
Work Step by Step
$f(x)$ = $cosx$
$f'(x)$ = $-sinx$
$f'(x)$ = $\frac{f(x+h)-f(x)}{h}$
$x$ = $30°$, $h$ = $-1°$
$-sin30°$ = $\frac{cos29°-cos30°}{-1°}$
$-sin30°$ = $\frac{cos29°-cos30°}{-1°(\frac{\pi}{180})}$
$cos29°$ = $0.875$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.9 Linear Approximations and Differentials - 2.9 Exercises - Page 193: 28
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