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人気のある微分積分 >

derivative (x^2-5x+1)^4

解

導関数

(x^{2} - 5 x + 1)^{4}

解

4 (x^{2} - 5 x + 1)^{3} (2 x - 5)

解答ステップ

\frac{d}{d x} ((x^{2} - 5 x + 1)^{4})

連鎖法則を適用:

4 (x^{2} - 5 x + 1)^{3} \frac{d}{d x} (x^{2} - 5 x + 1)

= 4 (x^{2} - 5 x + 1)^{3} \frac{d}{d x} (x^{2} - 5 x + 1)

\frac{d}{d x} (x^{2} - 5 x + 1) = 2 x - 5

= 4 (x^{2} - 5 x + 1)^{3} (2 x - 5)

グラフ

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