(\partial)/(\partial x)(cos^2(x)+cos^2(y))

解

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

- sin (2 x)

解答ステップ

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

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

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

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

= - sin (2 x) + 0

簡素化

= - sin (2 x)