derivative of 2x-(2000/(x^2))

Lösung

\frac{d}{d x} (2 x - \frac{2000}{x ^{2}})

2 + \frac{4000}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (2 x - \frac{2000}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{2000}{x ^{2}})

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

\frac{d}{d x} (\frac{2000}{x ^{2}}) = - \frac{4000}{x ^{3}}

= 2 - (- \frac{4000}{x ^{3}})

Vereinfache

= 2 + \frac{4000}{x ^{3}}

\int 6 arctan (4 y) d y

\frac{\partial}{\partial x} (2 y^{4 x})

t an g e n t f (x) = sin (x) + 1, at x = - \frac{π}{2}

a re a f (x) = x^{2} - 4, x = - 4, x = 3

\int \frac{1}{x ^{2} a ^{2} - x ^{2}} d x