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人気のある微分積分 >

derivative of a(1-cos(x))

解

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

解

a sin (x)

解答ステップ

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

定数を除去:

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

= a \frac{d}{d x} (1 - cos (x))

和/差の法則を適用:

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

= a (\frac{d}{d x} (1) - \frac{d}{d x} (cos (x)))

\frac{d}{d x} (1) = 0

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

= a (0 - (- sin (x)))

簡素化

= a sin (x)

グラフ

人気の例

(\partial)/(\partial x)(e^{2y^2}+4x^2)

\frac{\partial}{\partial x} (e^{2 y^{2}} + 4 x^{2})

integral of-2xcos(3x)

\int - 2 x cos (3 x) d x

integral of x^2(2-x)

\int x^{2} (2 - x) d x

derivative y^{-1}

d er i v a t i v e y^{- 1}

(\partial)/(\partial y)(1/(y^2))

\frac{\partial}{\partial y} (\frac{1}{y ^{2}})