(\partial)/(\partial x)((1+x^3)^{2020})

解

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

6060 x^{2} (1 + x^{3})^{2019}

解答ステップ

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

連鎖法則を適用:

2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

= 2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

\frac{\partial}{\partial x} (1 + x^{3}) = 3 x^{2}

= 2020 (1 + x^{3})^{2019} \cdot 3 x^{2}

簡素化

= 6060 x^{2} (1 + x^{3})^{2019}