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Soal Dasar Turunan Trigonometri

Topik Bahasan
Soal 1. f(x)= 3 sin x - 4 cos 5x. f'($ \frac {\pi}{4}$)=...

Jawab:
f'(x)= 3 cos x - 4.5.(-sin 5x) = 3cosx+20sin 5x
f'($ \frac {\pi}{4}$)=3cos $ \frac {\pi}{4}$+20 sin 5.$ \frac {\pi}{4}$
$f'( \frac {\pi}{4})=3 .\frac {1}{2} \sqrt 2 +20 (-\frac {1}{2} \sqrt 2 )= \frac {-17}{2} \sqrt 2$

Soal 2. f(x) = $\sqrt 2$ sin (2x+5)-3 sin (2x+5). f'($ \frac {\pi}{9}$)
Jawab:
$f(x) = \sqrt 2 sin (2x+5)-3 sin (2x+5) \\ f(x) =( \sqrt 2 -3) sin (2x+5) \\ f'(x)=( \sqrt 2 -3). 2. cos (2x+5) \\ f'(\frac {\pi}{9})=( \sqrt 2 -3). 2. cos (2.(\frac {\pi}{9})+5) =2-3 \sqrt2$.

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