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人気のある微分積分 >

derivative u^4

解

導関数

u^{4}

解

4 u^{3}

解答ステップ

\frac{d}{d u} (u^{4})

乗の法則を適用:

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

= 4 u^{4 - 1}

簡素化

= 4 u^{3}

グラフ

人気の例

tangent f(x)=(1-x)(x^2-3)^2,\at x=2

t an g e n t f (x) = (1 - x) (x^{2} - 3)^{2}, at x = 2

limit as x approaches 2+of (2-x)^{x-2}

x \to 2 + lim ((2 - x)^{x - 2})

3y^{''}-5y^'-14y=0

3 y^{^{''}} - 5 y^{^{'}} - 14 y = 0

integral from 4 to 7 of (x-6)^2

\int_{4}^{7} (x - 6)^{2} d x

limit as x approaches 5 of (x^2-9)/(x-3)

x \to 5 lim (\frac{x ^{2} - 9}{x - 3})