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Beliebt Rechnen >

derivative of ce^x+ce^{-x}

Lösung

\frac{d}{d x} (c e^{x} + c e^{- x})

Lösung

c e^{x} - c e^{- x}

Schritte zur Lösung

\frac{d}{d x} (c e^{x} + c e^{- x})

Wende die Summen-/Differenzregel an:

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

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

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

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

= c e^{x} - c e^{- x}

Graph

Beliebte Beispiele

derivative of (sqrt(x)/(x-1))

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

derivative of 1-cos(2x+2cos^2(x))

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

integral of 6x^{13}e^{-x^7}

\int 6 x^{13} e^{- x^{7}} d x

limit as x approaches 0 of 4/(1+2^{1/x)}

x \to 0 lim (\frac{4}{1 + 2 ^{\frac{1}{x}}})

derivative of 4cos(4x)

\frac{d}{d x} (4 cos (4 x))