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人気のある微分積分 >

derivative of 3cos^2(x-6sin(x))

解

\frac{d}{d x} (3 cos^{2} (x) - 6 sin (x))

解

- 3 sin (2 x) - 6 cos (x)

解答ステップ

\frac{d}{d x} (3 cos^{2} (x) - 6 sin (x))

和/差の法則を適用:

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

= \frac{d}{d x} (3 cos^{2} (x)) - \frac{d}{d x} (6 sin (x))

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

\frac{d}{d x} (6 sin (x)) = 6 cos (x)

= - 3 sin (2 x) - 6 cos (x)

グラフ

人気の例

(\partial)/(\partial x)(arcsin(3x))

\frac{\partial}{\partial x} (arcsin (3 x))

(d^2)/(dx^2)(x/(x-1))

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x - 1})

limit as x approaches 0+of \sqrt[3]{x}

x \to 0 + lim (3 x)

面積 e^x-2,0<= x<= 2

a re a e^{x} - 2, 0 \leq x \leq 2

integral of x/(x^4+5)

\int \frac{x}{x ^{4} + 5} d x