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人気のある微分積分 >

derivative of x^3+x+1

解

\frac{d}{d x} (x^{3} + x + 1)

解

3 x^{2} + 1

解答ステップ

\frac{d}{d x} (x^{3} + x + 1)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{3}) + \frac{d x}{d x} + \frac{d}{d x} (1)

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

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= 3 x^{2} + 1 + 0

簡素化

= 3 x^{2} + 1

グラフ

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