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

解

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

- 1

解答ステップ

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

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

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

= - 1 - 0

簡素化

= - 1