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人気のある微分積分 >

derivative of (3x^2+1^3)

解

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

解

18 x (3 x^{2} + 1)^{2}

解答ステップ

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

連鎖法則を適用:

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

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

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= 3 (3 x^{2} + 1)^{2} \cdot 6 x

簡素化

= 18 x (3 x^{2} + 1)^{2}

グラフ

人気の例

面積 y=x^3-3x^2-x+3,-1<x<= 3

a re a y = x^{3} - 3 x^{2} - x + 3, - 1 < x \leq 3

limit as x approaches 1+of 1/2 x+3

x \to 1 + lim (\frac{1}{2} x + 3)

limit as x approaches-1 of sin(3x)+2

x \to - 1 lim (sin (3 x) + 2)

derivative of 3x^4-12x^3

\frac{d}{d x} (3 x^{4} - 12 x^{3})

limit as x approaches 1 of 1/x-1

x \to 1 lim (\frac{1}{x} - 1)