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Beliebt Rechnen >

derivative f(x)=2e^x+2ln(x)

Lösung

ableitung von

f (x) = 2 e^{x} + 2 ln (x)

Lösung

2 e^{x} + \frac{2}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (2 ln (x)) = \frac{2}{x}

= 2 e^{x} + \frac{2}{x}

Graph

Beliebte Beispiele

sum from n=1 to infinity of sin(1/(n^2))

n = 1 \sum \infty sin (\frac{1}{n ^{2}})

integral of-1/(sin(θ))

\int - \frac{1}{sin ( θ )} d θ

y^{^{'}} + t^{2} y = t^{2}

derivative of 9xe^{-1/(y^3})

\frac{d}{d x} (9 x e^{- \frac{1}{y ^{3}}})

integral of 1/(sqrt(6-x^2))

\int \frac{1}{6 - x ^{2}} d x