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人気のある微分積分 >

derivative of (x+1^3)

解

\frac{d}{d x} ((x + 1)^{3})

解

3 (x + 1)^{2}

解答ステップ

\frac{d}{d x} ((x + 1)^{3})

連鎖法則を適用:

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

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

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

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

簡素化

= 3 (x + 1)^{2}

グラフ

人気の例

integral from-1 to 1 of (3x^2+1)^2

\int_{- 1}^{1} (3 x^{2} + 1)^{2} d x

integral of (-4)/(x^2)

\int \frac{- 4}{x ^{2}} d x

derivative y=(2x-3)/(4x+1)

d er i v a t i v e y = \frac{2 x - 3}{4 x + 1}

(\partial)/(\partial x)(3(x-y)*e^{3y+2x^2})

\frac{\partial}{\partial x} (3 (x - y) \cdot e^{3 y + 2 x^{2}})

derivative (sqrt(t))/(1+t^2)

d er i v a t i v e \frac{t}{1 + t ^{2}}