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人気のある微分積分 >

derivative of xsec(x)

解

\frac{d}{d x} (x sec (x))

解

sec (x) + x sec (x) tan (x)

解答ステップ

\frac{d}{d x} (x sec (x))

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sec (x)

= \frac{d x}{d x} sec (x) + \frac{d}{d x} (sec (x)) x

\frac{d x}{d x} = 1

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 1 \cdot sec (x) + sec (x) tan (x) x

簡素化

= sec (x) + x sec (x) tan (x)

グラフ

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