derivative of x-1/(x^2)

Lösung

\frac{d}{d x} (x - \frac{1}{x ^{2}})

1 + \frac{2}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (x - \frac{1}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

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

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

Vereinfache

= 1 + \frac{2}{x ^{3}}

x \to 0 lim (- e^{- x})

\frac{\partial}{\partial x} (2 x + 1 - 5 y)

d er i v a t i v e h (x) = 3 + 5 sin (x)

\int_{- 4}^{1} \frac{1}{x ^{4}} d x

\int_{- 2}^{- 1} (4 y^{3} + \frac{2}{y ^{3}}) d y