(\partial)/(\partial x)(6tan(xy))

解

\frac{\partial}{\partial x} (6 tan (x y))

6 sec^{2} (x y) y

解答ステップ

\frac{\partial}{\partial x} (6 tan (x y))

y

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{\partial}{\partial x} (tan (x y))

連鎖法則を適用:

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

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

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

= 6 sec^{2} (x y) y