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Beliebt Rechnen >

derivative of tan^x(x)

Lösung

\frac{d}{d x} (tan^{x} (x))

Lösung

tan^{x} (x) (ln (tan (x)) + 2 x csc (2 x))

Schritte zur Lösung

\frac{d}{d x} (tan^{x} (x))

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

tan^{x} (x) = e^{x l n (t a n (x))}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x ln (tan (x))) = ln (tan (x)) + 2 x csc (2 x)

= e^{x l n (t a n (x))} (ln (tan (x)) + 2 x csc (2 x))

e^{x l n (t a n (x))} = tan^{x} (x)

= tan^{x} (x) (ln (tan (x)) + 2 x csc (2 x))

Graph

Beliebte Beispiele

derivative sin(pi/x)

d er i v a t i v e sin (\frac{π}{x})

12 y y^{^{'}} - 7 e^{x} = 0

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integral of 1/((x+4)(x-1))

\int \frac{1}{( x + 4 ) ( x - 1 )} d x

fläche y=e^x,y=e^{-3x},x=ln(5)

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