(\partial)/(\partial x)(11x^2-2x^3)

解

\frac{\partial}{\partial x} (11 x^{2} - 2 x^{3})

22 x - 6 x^{2}

解答ステップ

\frac{\partial}{\partial x} (11 x^{2} - 2 x^{3})

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (11 x^{2}) - \frac{\partial}{\partial x} (2 x^{3})

\frac{\partial}{\partial x} (11 x^{2}) = 22 x

\frac{\partial}{\partial x} (2 x^{3}) = 6 x^{2}

= 22 x - 6 x^{2}