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Beliebt Rechnen >

derivative of e^{x/6}

Lösung

\frac{d}{d x} (e^{\frac{x}{6}})

Lösung

e^{\frac{x}{6}} \frac{1}{6}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{x}{6}})

Wende die Kettenregel an:

e^{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

= e^{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= e^{\frac{x}{6}} \frac{1}{6}

Graph

Beliebte Beispiele

integral of 1/(1+e^{-t)}

\int \frac{1}{1 + e ^{- t}} d t

integral of (x^2)/(x^2+81)

\int \frac{x ^{2}}{x ^{2} + 81} d x

(y^'-e^{-t}+5)/y =-5,y(0)=-4

\frac{y ^{^{'}} - e ^{- t} + 5}{y} = - 5, y (0) = - 4

steigung (5,-1),(-3,4)

s l o p e (5, - 1), (- 3, 4)

derivative of (x-3/(x^2-3x+2))

\frac{d}{d x} (\frac{x - 3}{x ^{2} - 3 x + 2})