(\partial)/(\partial x)(e^{5x+3y})

解答

\frac{\partial}{\partial x} (e^{5 x + 3 y})

e^{5 x + 3 y} \cdot 5

求解步骤

\frac{\partial}{\partial x} (e^{5 x + 3 y})

将

y

视为常数

使用连锁律:

e^{5 x + 3 y} \frac{\partial}{\partial x} (5 x + 3 y)

= e^{5 x + 3 y} \frac{\partial}{\partial x} (5 x + 3 y)

\frac{\partial}{\partial x} (5 x + 3 y) = 5

= e^{5 x + 3 y} \cdot 5

\frac{d}{d y} (\frac{1}{t} + \frac{1}{t ^{2}} - \frac{y}{t ^{2} + y ^{2}})

d er i v a t i v e f (x) = 1 - \frac{1}{x ^{2}}

\int x cos (y) d y

t an g e n t x^{2} + y^{2} = 169, (5, 12)

x \to 1 lim (2 - \frac{5}{( x - 1 ) ^{2}})