derivative x^{tan(x)}

Lösung

ableitung von

x^{t a n (x)}

e^{t a n (x) l n (x)} (sec^{2} (x) ln (x) + \frac{tan ( x )}{x})

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

Wende die Kettenregel an:

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

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

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

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

\frac{d y}{d x} = cos (y - x)

\int_{0}^{N} e^{- s t} sin (5 t) d t

in v erse l a pl a ce \frac{1}{s ( 2 s + 1 )}

\frac{d}{d x} (se x + cos (x))

\int 2 x (x^{2} + 1)^{6} d x