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人気のある微分積分 >

derivative Q(x)=x^4+8x^2+16

解

導関数

Q (x) = x^{4} + 8 x^{2} + 16

解

4 x^{3} + 16 x

解答ステップ

\frac{d}{d x} (x^{4} + 8 x^{2} + 16)

和/差の法則を適用:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (16)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (16) = 0

= 4 x^{3} + 16 x + 0

簡素化

= 4 x^{3} + 16 x

グラフ

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