(\partial)/(\partial x)((x^2-1)*x^0)

解

\frac{\partial}{\partial x} ((x^{2} - 1) \cdot x^{0})

2 x

解答ステップ

\frac{\partial}{\partial x} ((x^{2} - 1) x^{0})

簡素化

(x^{2} - 1) x^{0} : x^{2} - 1

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

和/差の法則を適用:

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

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

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

\frac{\partial}{\partial x} (1) = 0

= 2 x - 0

簡素化

= 2 x