derivative of 3/x+e^{2x}*2

Lösung

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

- \frac{3}{x ^{2}} + 4 e^{2 x}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{3}{x}) + \frac{d}{d x} (e^{2 x} \cdot 2)

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

\frac{d}{d x} (e^{2 x} \cdot 2) = 4 e^{2 x}

= - \frac{3}{x ^{2}} + 4 e^{2 x}

t an g e n t f (x) = x^{2} - 3, (2, 1)

n = 0 \sum \infty \frac{n + 1}{3}

d er i v a t i v e f (x) = 2 sin (x)

l a pl a ce t r an s f or m e^{- 2 t} (t^{2} + 4 t + 5)

\int_{a}^{2 a} (a - \frac{a ^{3}}{x ^{2}}) d x