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人気のある微分積分 >

derivative g(x)=3(4-9x)^4

解

導関数

g (x) = 3 (4 - 9 x)^{4}

解

- 108 (4 - 9 x)^{3}

解答ステップ

\frac{d}{d x} (3 (4 - 9 x)^{4})

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} ((4 - 9 x)^{4})

連鎖法則を適用:

4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

= 4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

\frac{d}{d x} (4 - 9 x) = - 9

= 3 \cdot 4 (4 - 9 x)^{3} (- 9)

簡素化

= - 108 (4 - 9 x)^{3}

グラフ

人気の例

limit as x approaches-3+of 1/(x+3)

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

面積 y=x^{15/14},y=13x^{1/14}

a re a y = x^{\frac{15}{14}}, y = 13 x^{\frac{1}{14}}

derivative of x^3+3x

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

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integral from-2 to 2 of 4-x^2

\int_{- 2}^{2} 4 - x^{2} d x