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人気のある微分積分 >

derivative of cos(x+sin(x))

解

\frac{d}{d x} (cos (x) + sin (x))

解

- sin (x) + cos (x)

解答ステップ

\frac{d}{d x} (cos (x) + sin (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} (sin (x))

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

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

= - sin (x) + cos (x)

グラフ

人気の例

勾配 f(x)=(1+3x^{1/2})/(5+x^{3/2)}

s l o p e f (x) = \frac{1 + 3 x ^{\frac{1}{2}}}{5 + x ^{\frac{3}{2}}}

derivative y=7x+4

d er i v a t i v e y = 7 x + 4

derivative 6x^2cos(x)cot(x)

d er i v a t i v e 6 x^{2} cos (x) cot (x)

integral from 1 to 3 of x^3+2x-3

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

derivative f(x)=(3x+5)^2

d er i v a t i v e f (x) = (3 x + 5)^{2}