(\partial)/(\partial x)(4x^2+4y^2)

解

\frac{\partial}{\partial x} (4 x^{2} + 4 y^{2})

8 x

解答ステップ

\frac{\partial}{\partial x} (4 x^{2} + 4 y^{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} (4 x^{2}) + \frac{\partial}{\partial x} (4 y^{2})

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

\frac{\partial}{\partial x} (4 y^{2}) = 0

= 8 x + 0

簡素化

= 8 x