derivative tan(e^{8t})+e^{tan(8t)}

Lösung

ableitung von

tan (e^{8 t}) + e^{t a n (8 t)}

sec^{2} (e^{8 t}) e^{8 t} \cdot 8 + e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

Schritte zur Lösung

\frac{d}{d t} (tan (e^{8 t}) + e^{t a n (8 t)})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (tan (e^{8 t})) + \frac{d}{d t} (e^{t a n (8 t)})

\frac{d}{d t} (tan (e^{8 t})) = sec^{2} (e^{8 t}) e^{8 t} \cdot 8

\frac{d}{d t} (e^{t a n (8 t)}) = e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

= sec^{2} (e^{8 t}) e^{8 t} \cdot 8 + e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

t an g e n t f (x) = \frac{x}{e ^{x}}, at x = - 1

y^{^{'}} = 8 x e^{(5 y)}, y (0) = 0

\frac{d}{d x} (arccot (2 x))

\int \frac{7 ( x ^{2} + 5 )}{x ( x ^{2} + 7 )} d x

a re a 3 x^{3} - x^{2} - 10 x, - x^{2} + 2 x, [- 2, 2]