(\partial)/(\partial y)(cos(yx^2))

解

\frac{\partial}{\partial y} (cos (y x^{2}))

- sin (y x^{2}) x^{2}

解答ステップ

\frac{\partial}{\partial y} (cos (y x^{2}))

x

を定数として扱う

連鎖法則を適用:

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

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

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

= - sin (y x^{2}) x^{2}