derivative of pi^{xtan(x})

Lösung

\frac{d}{d x} (π^{x t a n (x)})

ln (π) π^{x t a n (x)} (tan (x) + x sec^{2} (x))

Schritte zur Lösung

\frac{d}{d x} (π^{x t a n (x)})

Wende Exponentenregel an:

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

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

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

Wende die Kettenregel an:

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

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

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

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

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

= ln (π) π^{x t a n (x)} (tan (x) + x sec^{2} (x))

g (x) = x arcsinh (x) - 1 + x^{2}

in v erse l a pl a ce \frac{1}{( s + 3 ) ^{4}}

\int 36 x (2 x^{2} - 5)^{8} d x

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

\frac{d x}{d t} = \frac{( e ^{t} - e ^{- t} )}{3 + x}, x (0) = 0