derivative of 4ae^{4x}

解答

\frac{d}{d x} (4 a e^{4 x})

16 a e^{4 x}

求解步骤

\frac{d}{d x} (4 a e^{4 x})

将常数提出:

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

= 4 a \frac{d}{d x} (e^{4 x})

使用连锁律:

e^{4 x} \frac{d}{d x} (4 x)

= e^{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 4 a e^{4 x} \cdot 4

化简

= 16 a e^{4 x}

\int_{- \infty}^{2} x^{2} e^{x} d x

t an g e n t y = \frac{x}{x + 3}, (4, \frac{2}{7})

d er i v a t i v e \frac{x ^{3}}{3} + \frac{3}{x ^{3}}

\int_{0}^{π} π sin^{4} (x) d x

x \to 2 lim (4)