derivative \sqrt[5]{t}-5e^t

Lösung

ableitung von

5 t - 5 e^{t}

\frac{1}{5 t ^{\frac{4}{5}}} - 5 e^{t}

Schritte zur Lösung

\frac{d}{d t} (5 t - 5 e^{t})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (5 t) - \frac{d}{d t} (5 e^{t})

\frac{d}{d t} (5 t) = \frac{1}{5 t ^{\frac{4}{5}}}

\frac{d}{d t} (5 e^{t}) = 5 e^{t}

= \frac{1}{5 t ^{\frac{4}{5}}} - 5 e^{t}

\int (\frac{3}{x} + 3 x) d x

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

d er i v a t i v e 9 x^{2} - 1

d er i v a t i v e y = cos^{4} (t) - sin^{4} (t)

x \to \infty lim (x^{3})