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人気のある微分積分 >

derivative of (x^4+9x^2-7^8)

解

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

解

8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

解答ステップ

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

連鎖法則を適用:

8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

= 8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

\frac{d}{d x} (x^{4} + 9 x^{2} - 7) = 4 x^{3} + 18 x

= 8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

グラフ

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