derivative t^2-1/(t^3)

Lösung

ableitung von

t^{2} - \frac{1}{t ^{3}}

2 t + \frac{3}{t ^{4}}

Schritte zur Lösung

\frac{d}{d t} (t^{2} - \frac{1}{t ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{2}) - \frac{d}{d t} (\frac{1}{t ^{3}})

\frac{d}{d t} (t^{2}) = 2 t

\frac{d}{d t} (\frac{1}{t ^{3}}) = - \frac{3}{t ^{4}}

= 2 t - (- \frac{3}{t ^{4}})

Vereinfache

= 2 t + \frac{3}{t ^{4}}

\frac{\partial}{\partial x} (\frac{y - 3 x}{z})

x \to 1 - lim (2 x + 3)

x \to 1 lim (\frac{4 - 4 x}{x - 1})

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

\int \frac{x ^{7} + 3 x ^{5} - 2 x ^{3} - 4}{x ^{3}} d x