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人気のある微分積分 >

derivative of x-sin^2(x-4)

解

\frac{d}{d x} (x - sin^{2} (x) - 4)

解

- sin (2 x) + 1

解答ステップ

\frac{d}{d x} (x - sin^{2} (x) - 4)

和/差の法則を適用:

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

= \frac{d x}{d x} - \frac{d}{d x} (sin^{2} (x)) - \frac{d}{d x} (4)

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

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

\frac{d}{d x} (4) = 0

= 1 - sin (2 x) - 0

簡素化

= - sin (2 x) + 1

グラフ

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