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Beliebt >

derivative of f(x)=e^{-ax}

Lösung

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

Lösung

f (x) = - \frac{e ^{- a x}}{a} + c_{1}

Schritte zur Lösung

\frac{df}{d x} = e^{- a x}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int e^{- a x} d x

\int e^{- a x} d x = - \frac{1}{a} e^{- a x} + c_{1}

f (x) = - \frac{1}{a} e^{- a x} + c_{1}

Vereinfache

f (x) = - \frac{e ^{- a x}}{a} + c_{1}

Beliebte Beispiele

derivative of y=sqrt(cos(2x))

\frac{d}{d x} y = cos (2 x)

steigung y= 1/(2x-4)steigung

y = \frac{1}{2 x - 4}

integral of (1/((1-sin(x))))

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

derivative of y=8^x

\frac{d}{d x} y = 8^{x}

derivative derivative of tan(1/x)ableitung von

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