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人気のある微分積分 >

(\partial)/(\partial x)(x^{y^3})

解

\frac{\partial}{\partial x} (x^{y^{3}})

解

y^{3} x^{y^{3} - 1}

解答ステップ

\frac{\partial}{\partial x} (x^{y^{3}})

y

を定数として扱う

乗の法則を適用:

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

= y^{3} x^{y^{3} - 1}

人気の例

derivative 9sqrt(x)-7/x

d er i v a t i v e 9 x - \frac{7}{x}

limit as x approaches-9 of 1/((x+9)^2)

x \to - 9 lim (\frac{1}{( x + 9 ) ^{2}})

integral of cos^3(3x)sin^{-2}(3x)

\int cos^{3} (3 x) sin^{- 2} (3 x) d x

limit as x approaches-infinity of 19

x \to - \infty lim (19)

limit as x approaches 5 of 9

x \to 5 lim (9)