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人気のある微分積分 >

derivative of (7x+sqrt(x^2+3)^6)

解

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

解

6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

解答ステップ

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

連鎖法則を適用:

6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

= 6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

\frac{d}{d x} (7 x + x^{2} + 3) = 7 + \frac{x}{x ^{2} + 3}

= 6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

グラフ

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