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人気のある微分積分 >

derivative R(q)=(q^2+1)^4

解

導関数

R (q) = (q^{2} + 1)^{4}

解

8 q (q^{2} + 1)^{3}

解答ステップ

\frac{d}{d q} ((q^{2} + 1)^{4})

連鎖法則を適用:

4 (q^{2} + 1)^{3} \frac{d}{d q} (q^{2} + 1)

= 4 (q^{2} + 1)^{3} \frac{d}{d q} (q^{2} + 1)

\frac{d}{d q} (q^{2} + 1) = 2 q

= 4 (q^{2} + 1)^{3} \cdot 2 q

簡素化

= 8 q (q^{2} + 1)^{3}

グラフ

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