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人気のある微分積分 >

derivative of (cos(x)^3)

解

\frac{d}{d x} ((cos (x))^{3})

解

- 3 cos^{2} (x) sin (x)

解答ステップ

\frac{d}{d x} ((cos (x))^{3})

連鎖法則を適用:

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

= 3 (cos (x))^{2} \frac{d}{d x} (cos (x))

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

= 3 (cos (x))^{2} (- sin (x))

簡素化

= - 3 cos^{2} (x) sin (x)

グラフ

人気の例

x^'+2/(1+t)x=(e^t)/(1+t)

x^{^{'}} + \frac{2}{1 + t} x = \frac{e ^{t}}{1 + t}

integral from-1 to 1 of 3x^2sqrt(x^3+5)

\int_{- 1}^{1} 3 x^{2} x^{3} + 5 d x

(x^{2} + 2 x)^{^{'}}

limit as x approaches 1+of 5/(x^3-1)

x \to 1 + lim (\frac{5}{x ^{3} - 1})

integral of (x+5)/(x^2+10x)

\int \frac{x + 5}{x ^{2} + 10 x} d x