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人気のある微分積分 >

d/(dy)(3cos(3x)(x-y)+sin(3x))

解

\frac{d}{d y} (3 cos (3 x) (x - y) + sin (3 x))

解

- 3 cos (3 x)

解答ステップ

\frac{d}{d y} (3 cos (3 x) (x - y) + sin (3 x))

x

を定数として扱う

和/差の法則を適用:

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

= \frac{d}{d y} (3 cos (3 x) (x - y)) + \frac{d}{d y} (sin (3 x))

\frac{d}{d y} (3 cos (3 x) (x - y)) = - 3 cos (3 x)

\frac{d}{d y} (sin (3 x)) = 0

= - 3 cos (3 x) + 0

簡素化

= - 3 cos (3 x)

グラフ

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