(\partial)/(\partial x)(sin(x^2+xy))

解

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

cos (x^{2} + x y) (2 x + y)

解答ステップ

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

y

を定数として扱う

連鎖法則を適用:

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

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

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

= cos (x^{2} + x y) (2 x + y)