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人気のある微分積分 >

derivative f(x)=(5x+2x^2)^2

解

導関数

f (x) = (5 x + 2 x^{2})^{2}

解

2 (5 x + 2 x^{2}) (5 + 4 x)

解答ステップ

\frac{d}{d x} ((5 x + 2 x^{2})^{2})

連鎖法則を適用:

2 (5 x + 2 x^{2}) \frac{d}{d x} (5 x + 2 x^{2})

= 2 (5 x + 2 x^{2}) \frac{d}{d x} (5 x + 2 x^{2})

\frac{d}{d x} (5 x + 2 x^{2}) = 5 + 4 x

= 2 (5 x + 2 x^{2}) (5 + 4 x)

グラフ

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