derivative e^{sqrt(2)}+sqrt(2)^x

Lösung

ableitung von

e^{2} + 2^{x}

\frac{1}{2} ln (2) e^{\frac{l n ( 2 ) x}{2}}

Schritte zur Lösung

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

Vereinfache

e^{2} + (2)^{x} : e^{2} + 2^{\frac{x}{2}}

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (e^{2}) = 0

\frac{d}{d x} (2^{\frac{x}{2}}) = \frac{1}{2} ln (2) e^{\frac{l n ( 2 ) x}{2}}

= 0 + \frac{1}{2} ln (2) e^{\frac{l n ( 2 ) x}{2}}

Vereinfache

= \frac{1}{2} ln (2) e^{\frac{l n ( 2 ) x}{2}}

x \to 0 + lim (x^{15 x})

n = 5 \sum \infty (\frac{4}{5})^{- n}

l a pl a ce t r an s f or m 9 t

a re a f (x) = (x - 1)^{2} + 2, x = - 1, x = 2

\int \frac{5 x ^{2} - 12 x - 12}{x ^{3} - 4 x} d x