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Beliebt Rechnen >

derivative of ae^x+be^{-9x}

Lösung

\frac{d}{d x} (a e^{x} + b e^{- 9 x})

Lösung

a e^{x} - 9 b e^{- 9 x}

Schritte zur Lösung

\frac{d}{d x} (a e^{x} + b e^{- 9 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a e^{x}) + \frac{d}{d x} (b e^{- 9 x})

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

\frac{d}{d x} (b e^{- 9 x}) = - 9 b e^{- 9 x}

= a e^{x} - 9 b e^{- 9 x}

Graph

Beliebte Beispiele

(\partial)/(\partial v)(u*cos(v))

\frac{\partial}{\partial v} (u \cdot cos (v))

integral of (x-2)^3

\int (x - 2)^{3} d x

integral from 0 to 1 of 1/((x-1)^{1/3)}

\int_{0}^{1} \frac{1}{( x - 1 ) ^{\frac{1}{3}}} d x

integral of 4tan^2(x)

\int 4 tan^{2} (x) d x

integral of sin^3(x)cos(x)

\int sin^{3} (x) cos (x) d x