d/(dt)(e^{tan(pit)})

Lösung

\frac{d}{d t} (e^{t a n (π t)})

e^{t a n (π t)} sec^{2} (π t) π

Schritte zur Lösung

\frac{d}{d t} (e^{t a n (π t)})

Wende die Kettenregel an:

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

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

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

= e^{t a n (π t)} sec^{2} (π t) π

d er i v a t i v e \frac{x ^{2}}{e ^{x}}

\int arcsin (x) 1 - x d x

r \to 3 lim (\frac{4}{3} π r^{3})

x \to \infty lim (\frac{1 + 3 x + 2 x ^{3}}{x ^{3}})

\int \frac{19}{x ^{3} - 27} d x