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人気のある微分積分 >

derivative y=(ax+b)^6

解

導関数

y = (a x + b)^{6}

解

6 (a x + b)^{5} a

解答ステップ

\frac{d}{d x} ((a x + b)^{6})

連鎖法則を適用:

6 (a x + b)^{5} \frac{d}{d x} (a x + b)

= 6 (a x + b)^{5} \frac{d}{d x} (a x + b)

\frac{d}{d x} (a x + b) = a

= 6 (a x + b)^{5} a

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