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人気のある微分積分 >

derivative f(x)=4x^2sin(x)-7x

解

導関数

f (x) = 4 x^{2} sin (x) - 7 x

解

4 (2 x sin (x) + cos (x) x^{2}) - 7

解答ステップ

\frac{d}{d x} (4 x^{2} sin (x) - 7 x)

和/差の法則を適用:

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

= \frac{d}{d x} (4 x^{2} sin (x)) - \frac{d}{d x} (7 x)

\frac{d}{d x} (4 x^{2} sin (x)) = 4 (2 x sin (x) + cos (x) x^{2})

\frac{d}{d x} (7 x) = 7

= 4 (2 x sin (x) + cos (x) x^{2}) - 7

グラフ

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