(\partial)/(\partial y)(5e^xln(y))

解答

\frac{\partial}{\partial y} (5 e^{x} ln (y))

\frac{5 e ^{x}}{y}

求解步骤

\frac{\partial}{\partial y} (5 e^{x} ln (y))

将

x

视为常数

将常数提出:

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

= 5 e^{x} \frac{\partial}{\partial y} (ln (y))

使用常见微分定则:

\frac{\partial}{\partial y} (ln (y)) = \frac{1}{y}

= 5 e^{x} \frac{1}{y}

化简

5 e^{x} \frac{1}{y} : \frac{5 e ^{x}}{y}

= \frac{5 e ^{x}}{y}

\frac{d}{d x} (e^{x} (sin (x) + cos (x)))

t a y l or x^{3} - 2 x^{2} + 3 x + 5 (2)

\int_{e^{2}}^{e^{5}} (\frac{1}{x}) d x

s l o p e in t erce pt (2, 5), (0, - 9)

d er i v a t i v e \frac{u}{u ^{2} + 5}