(\partial)/(\partial x)(4x^{0.75}+y)

解答

\frac{\partial}{\partial x} (4 x^{0.75} + y)

\frac{3}{x ^{0.25}}

求解步骤

\frac{\partial}{\partial x} (4 x^{0.75} + y)

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (4 x^{0.75}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (4 x^{0.75}) = \frac{3}{x ^{0.25}}

\frac{\partial}{\partial x} (y) = 0

= \frac{3}{x ^{0.25}} + 0

化简

= \frac{3}{x ^{0.25}}

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