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

解

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

6 x y^{2}

解答ステップ

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

y

を定数として扱う

和/差の法則を適用:

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

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

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

\frac{\partial}{\partial x} (2) = 0

= 6 y^{2} x - 0

簡素化

= 6 x y^{2}