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Beliebt Rechnen >

derivative of e^{1/3 x}

Lösung

\frac{d}{d x} (e^{\frac{1}{3} x})

Lösung

e^{\frac{x}{3}} \frac{1}{3}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{1}{3} x})

Vereinfache

e^{\frac{1}{3} x} : e^{\frac{x}{3}}

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

Wende die Kettenregel an:

e^{\frac{x}{3}} \frac{d}{d x} (\frac{x}{3})

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

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

= e^{\frac{x}{3}} \frac{1}{3}

Graph

Beliebte Beispiele

derivative e^{-x}-e^{-x}x

d er i v a t i v e e^{- x} - e^{- x} x

derivative of e^{x-4}

\frac{d}{d x} (e^{x - 4})

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

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

limit as x approaches 1 of sqrt(2x)

x \to 1 lim (2 x)

tangent f(x)=x^2-2x,(5,9)

t an g e n t f (x) = x^{2} - 2 x, (5, 9)