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人気のある微分積分 >

derivative of 3x^4-5x^2+1

解

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 1)

解

12 x^{3} - 10 x

解答ステップ

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 1)

和/差の法則を適用:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 12 x^{3} - 10 x + 0

簡素化

= 12 x^{3} - 10 x

グラフ

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