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人気のある微分積分 >

derivative of (x^3-1^4)

解

\frac{d}{d x} ((x^{3} - 1)^{4})

解

12 x^{2} (x^{3} - 1)^{3}

解答ステップ

\frac{d}{d x} ((x^{3} - 1)^{4})

連鎖法則を適用:

4 (x^{3} - 1)^{3} \frac{d}{d x} (x^{3} - 1)

= 4 (x^{3} - 1)^{3} \frac{d}{d x} (x^{3} - 1)

\frac{d}{d x} (x^{3} - 1) = 3 x^{2}

= 4 (x^{3} - 1)^{3} \cdot 3 x^{2}

簡素化

= 12 x^{2} (x^{3} - 1)^{3}

グラフ

人気の例

(\partial)/(\partial x)(sqrt(11-4x^2-y^2))

\frac{\partial}{\partial x} (11 - 4 x^{2} - y^{2})

(\partial)/(\partial x)(2x^3y^2cos(6x^3y))

\frac{\partial}{\partial x} (2 x^{3} y^{2} cos (6 x^{3} y))

integral of 7/(sec(x)-1)

\int \frac{7}{sec ( x ) - 1} d x

integral of (e^{2x})/(e^{5-x)}

\int \frac{e ^{2 x}}{e ^{5 - x}} d x

limit as x approaches infinity of 67

x \to \infty lim (67)