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人気のある微分積分 >

(\partial)/(\partial x)(4x-sqrt(2y^2+z^2))

解

\frac{\partial}{\partial x} (4 x - 2 y^{2} + z^{2})

解

4

解答ステップ

\frac{\partial}{\partial x} (4 x - 2 y^{2} + z^{2})

y, z

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} (4 x) - \frac{\partial}{\partial x} (2 y^{2} + z^{2})

\frac{\partial}{\partial x} (4 x) = 4

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

= 4 - 0

簡素化

= 4

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