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人気のある微分積分 >

derivative of 2cos(-6x)

解

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

解

- 12 sin (6 x)

解答ステップ

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

簡素化

2 cos (- 6 x) : 2 cos (6 x)

= \frac{d}{d x} (2 cos (6 x))

定数を除去:

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

= 2 \frac{d}{d x} (cos (6 x))

連鎖法則を適用:

- sin (6 x) \frac{d}{d x} (6 x)

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

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

= 2 (- sin (6 x) \cdot 6)

簡素化

= - 12 sin (6 x)

グラフ

人気の例

integral from 0 to pi of cos^4(x)

\int_{0}^{π} cos^{4} (x) d x

derivative of 1-sin(xcos(x))

\frac{d}{d x} (1 - sin (x) cos (x))

integral of tcsc^2((3t^2)/2)

\int t csc^{2} (\frac{3 t ^{2}}{2}) d t

sum from n=4 to infinity of 1/(n^2)

n = 4 \sum \infty \frac{1}{n ^{2}}

tangent f(x)= 6/(5x+2),(-1,-2)

t an g e n t f (x) = \frac{6}{5 x + 2}, (- 1, - 2)