(\partial)/(\partial x)(5e^{2x})

解答

\frac{\partial}{\partial x} (5 e^{2 x})

10 e^{2 x}

求解步骤

\frac{\partial}{\partial x} (5 e^{2 x})

将常数提出:

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

= 5 \frac{\partial}{\partial x} (e^{2 x})

使用连锁律:

e^{2 x} \frac{\partial}{\partial x} (2 x)

= e^{2 x} \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= 5 e^{2 x} \cdot 2

化简

= 10 e^{2 x}

d er i v a t i v e y = \frac{x ^{4}}{4} + \frac{2}{9} x^{3} - x^{2} + 9 x - 5

ma c l a u r in \frac{( 2 x )}{1 + x ^{4}}

d er i v a t i v e 7 - 4 x

\frac{d}{d x} (e^{4 x s i n (2 x)})

d er i v a t i v e f (x) = ln (196 sin^{2} (x))