(\partial)/(\partial x)(ye^{6x})

解答

\frac{\partial}{\partial x} (y e^{6 x})

y e^{6 x} \cdot 6

求解步骤

\frac{\partial}{\partial x} (y e^{6 x})

将

y

视为常数

将常数提出:

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

= y \frac{\partial}{\partial x} (e^{6 x})

使用连锁律:

e^{6 x} \frac{\partial}{\partial x} (6 x)

= e^{6 x} \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= y e^{6 x} \cdot 6

d er i v a t i v e f (x) = (3) e^{- 5 x}

\int_{0}^{2} 4 t^{7} d t

\int (\frac{x ^{2} - 1}{x ^{\frac{3}{2}}}) d x

x \to 0 lim (\frac{5 ^{x} - 1 0 ^{x}}{x})

x \to 5 lim (x^{3} + 2 x)