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Beliebt Rechnen >

derivative f(x)=ax^b+de^{-cx}

Lösung

ableitung von

f (x) = a x^{b} + d e^{- c x}

Lösung

ab x^{b - 1} - d c e^{- c x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (a x^{b}) = ab x^{b - 1}

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

= ab x^{b - 1} - d c e^{- c x}

Graph

Beliebte Beispiele

integral of (4^x-sec^2(x))

\int (4^{x} - sec^{2} (x)) d x

integral of 1 (e^{-x}y)

\int \frac{d}{1} (e^{- x} y) d x

(dy)/(dx)=(x+y^2)/(2y),y(0)=1

\frac{d y}{d x} = \frac{x + y ^{2}}{2 y}, y (0) = 1

integral of (x^5)/(x^6-7)

\int \frac{x ^{5}}{x ^{6} - 7} d x

limit as θ approaches 0 of 1/11

θ \to 0 lim (\frac{1}{11})