derivative f(x)=(ln(4))/3 e^x

解答

导数

f (x) = \frac{ln ( 4 )}{3} e^{x}

\frac{2 ln ( 2 ) e ^{x}}{3}

求解步骤

\frac{d}{d x} (\frac{ln ( 4 )}{3} e^{x})

将常数提出:

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

= \frac{ln ( 4 )}{3} \frac{d}{d x} (e^{x})

使用常见微分定则:

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

= \frac{ln ( 4 )}{3} e^{x}

化简

\frac{ln ( 4 )}{3} e^{x} : \frac{2 ln ( 2 ) e ^{x}}{3}

= \frac{2 ln ( 2 ) e ^{x}}{3}

d er i v a t i v e y = \frac{5 x - 2}{x}

t an g e n t 8 x^{- 2}

\int - x d x

x \to 0 lim (arccot (\frac{1}{x}))

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