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人気のある微分積分 >

(x^3+3x^2-2ln(x))^'

解

(x^{3} + 3 x^{2} - 2 ln (x))^{^{'}}

解

3 x^{2} + 6 x - \frac{2}{x}

解答ステップ

(x^{3} + 3 x^{2} - 2 ln (x))^{'}

和/差の法則を適用:

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

= (x^{3})^{^{'}} + (3 x^{2})^{^{'}} - (2 ln (x))^{^{'}}

(x^{3})^{'} = 3 x^{2}

(3 x^{2})^{'} = 6 x

(2 ln (x))^{'} = \frac{2}{x}

= 3 x^{2} + 6 x - \frac{2}{x}

グラフ

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