(\partial)/(\partial x)(xsin(y)+ze^x)

解答

\frac{\partial}{\partial x} (x sin (y) + z e^{x})

sin (y) + z e^{x}

求解步骤

\frac{\partial}{\partial x} (x sin (y) + z e^{x})

将

y, z

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial x} (x sin (y)) + \frac{\partial}{\partial x} (z e^{x})

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

\frac{\partial}{\partial x} (z e^{x}) = z e^{x}

= sin (y) + z e^{x}

\int (6 x - 7) d x

f (x) = \frac{1 - 2 ln ( x )}{x ^{3}}

d er i v a t i v e sin (3 x^{2})

a re a e^{x}, e^{- 2 x}, x = ln (3)

a re a x = y^{4}, y = 2 - x, y = 0