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人気のある微分積分 >

derivative of sin(x+10tan(x))

解

\frac{d}{d x} (sin (x) + 10 tan (x))

解

cos (x) + 10 sec^{2} (x)

解答ステップ

\frac{d}{d x} (sin (x) + 10 tan (x))

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (10 tan (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (10 tan (x)) = 10 sec^{2} (x)

= cos (x) + 10 sec^{2} (x)

グラフ

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