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人気のある微分積分 >

(x*sin(x))^'

解

(x \cdot sin (x))^{^{'}}

解

sin (x) + x cos (x)

解答ステップ

(x sin (x))^{'}

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (x)

= x^{^{'}} sin (x) + (sin (x))^{^{'}} x

x^{'} = 1

(sin (x))^{'} = cos (x)

= 1 \cdot sin (x) + cos (x) x

簡素化

= sin (x) + x cos (x)

グラフ

人気の例

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