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Beliebt Rechnen >

derivative of e^{-2x}-3y

Lösung

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

Lösung

- 2 e^{- 2 x} - 3 \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 y) = 3 \frac{d y}{d x}

= - 2 e^{- 2 x} - 3 \frac{d y}{d x}

Beliebte Beispiele

derivative of (2x-1/(x+2))

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

integral of ((\sqrt[3]{x}+sqrt(x^5))/x)

\int (\frac{3 x + x ^{5}}{x}) d x

y^{^{'}} = e^{8 x} - 6 x

derivative f(x)=(40t)/(t+2)

d er i v a t i v e f (x) = \frac{40 t}{t + 2}

limit as h approaches 0 of (2x+h)-2x

h \to 0 lim ((2 x + h) - 2 x)