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Beliebt Rechnen >

derivative of sqrt(e^{2x)}

Lösung

\frac{d}{d x} (e^{2 x})

Lösung

e^{x}

Schritte zur Lösung

\frac{d}{d x} (e^{2 x})

Wende die Kettenregel an:

\frac{1}{2 e ^{2 x}} \frac{d}{d x} (e^{2 x})

= \frac{1}{2 e ^{2 x}} \frac{d}{d x} (e^{2 x})

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= \frac{1}{2 e ^{2 x}} e^{2 x} \cdot 2

Vereinfache

\frac{1}{2 e ^{2 x}} e^{2 x} \cdot 2 : e^{x}

= e^{x}

Graph

Beliebte Beispiele

derivative of x^3-6x^2+12x

\frac{d}{d x} (x^{3} - 6 x^{2} + 12 x)

integral of 1/((a^2+x^2)^{3/2)}

\int \frac{1}{( a ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

(d^2)/(dx^2)(2csc(x))

\frac{d ^{2}}{d x ^{2}} (2 csc (x))

integral of 1/(x(2x+1))

\int \frac{1}{x ( 2 x + 1 )} d x

derivative of ((2x-3^{-3})/((2-3x)^2))

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