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Beliebt Rechnen >

derivative of e^{2tan(sqrt(x)})

Lösung

\frac{d}{d x} (e^{2 t a n (x)})

Lösung

\frac{e ^{2 t a n (x)} sec ^{2} ( x )}{x}

Schritte zur Lösung

\frac{d}{d x} (e^{2 t a n (x)})

Wende die Kettenregel an:

e^{2 t a n (x)} \frac{d}{d x} (2 tan (x))

= e^{2 t a n (x)} \frac{d}{d x} (2 tan (x))

\frac{d}{d x} (2 tan (x)) = \frac{sec ^{2} ( x )}{x}

= e^{2 t a n (x)} \frac{sec ^{2} ( x )}{x}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{2 t a n (x)} sec ^{2} ( x )}{x}

Graph

Beliebte Beispiele

derivative sqrt(1+t)

d er i v a t i v e 1 + t

integral of (2x+3)e^{2x}

\int (2 x + 3) e^{2 x} d x

d/(dt)(e^{2t}cos(4t))

\frac{d}{d t} (e^{2 t} cos (4 t))

derivative f(x)=(x^4)sqrt(x^2+2)

d er i v a t i v e f (x) = (x^{4}) x^{2} + 2

integral of (48x)/((x+1)^2(3x+1))

\int \frac{48 x}{( x + 1 ) ^{2} ( 3 x + 1 )} d x