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人気のある微分積分 >

derivative 4cos(cos(x))

解

導関数

4 cos (cos (x))

解

4 sin (cos (x)) sin (x)

解答ステップ

\frac{d}{d x} (4 cos (cos (x)))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

連鎖法則を適用:

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

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

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

= 4 (- sin (cos (x)) (- sin (x)))

簡素化

= 4 sin (cos (x)) sin (x)

グラフ

人気の例

derivative 3x^2cos(5x)

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

derivative f(x)=xcos(x)-sin(x)

d er i v a t i v e f (x) = x cos (x) - sin (x)

derivative f(x)=ln(2x+1)

d er i v a t i v e f (x) = ln (2 x + 1)

integral from 0 to 4 of 1/(sqrt(64-x^2))

\int_{0}^{4} \frac{1}{64 - x ^{2}} d x

limit as x approaches infinity of ln(3)

x \to \infty lim (ln (3))