(\partial)/(\partial x)(x^2sin^2(yz))

解

\frac{\partial}{\partial x} (x^{2} sin^{2} (yz))

2 x sin^{2} (yz)

解答ステップ

\frac{\partial}{\partial x} (x^{2} sin^{2} (yz))

y, z

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= sin^{2} (yz) \frac{\partial}{\partial x} (x^{2})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin^{2} (yz) \cdot 2 x^{2 - 1}

簡素化

= 2 x sin^{2} (yz)