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

解

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

- 1

解答ステップ

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

x

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

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

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

= 0 - 1

簡素化

= - 1