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Beliebt Rechnen >

derivative of 2e^{-2x}+1/3 e^x

Lösung

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

Lösung

- 4 e^{- 2 x} + \frac{1}{3} e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (\frac{1}{3} e^{x}) = \frac{1}{3} e^{x}

= - 4 e^{- 2 x} + \frac{1}{3} e^{x}

Graph

Beliebte Beispiele

derivative of 6^{x^2-3}

\frac{d}{d x} (6^{x^{2} - 3})

derivative of (x-sqrt(x)/(x^2))

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

integral of (x^2)/(x^2-6x+9)

\int \frac{x ^{2}}{x ^{2} - 6 x + 9} d x

derivative (2x^2-7)/(8x^3+1)

d er i v a t i v e \frac{2 x ^{2} - 7}{8 x ^{3} + 1}

derivative of (sqrt(x^2+y^2-9)/x)

\frac{d}{d x} (\frac{x ^{2} + y ^{2} - 9}{x})