(\partial)/(\partial x)(7x+sqrt(y^4+1))

解

\frac{\partial}{\partial x} (7 x + y^{4} + 1)

7

解答ステップ

\frac{\partial}{\partial x} (7 x + y^{4} + 1)

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} (7 x) + \frac{\partial}{\partial x} (y^{4} + 1)

\frac{\partial}{\partial x} (7 x) = 7

\frac{\partial}{\partial x} (y^{4} + 1) = 0

= 7 + 0

簡素化

= 7