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人気のある微分積分 >

derivative of cos(x-cos^2(x))

解

\frac{d}{d x} (cos (x) - cos^{2} (x))

解

- sin (x) + sin (2 x)

解答ステップ

\frac{d}{d x} (cos (x) - cos^{2} (x))

和/差の法則を適用:

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

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

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

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

= - sin (x) - (- sin (2 x))

簡素化

= - sin (x) + sin (2 x)

グラフ

人気の例

derivative of sqrt(x^3+3x^2)

\frac{d}{d x} (x^{3} + 3 x^{2})

integral from 0 to 1 of (x^e+e^x)

\int_{0}^{1} (x^{e} + e^{x}) d x

derivative x^{10}h(x)

d er i v a t i v e x^{10} h (x)

derivative f(x)=sec^2(x)-1

d er i v a t i v e f (x) = sec^{2} (x) - 1

integral of-16x^2

\int - 16 x^{2} d x