derivative of 3/x+5

Lösung

\frac{d}{d x} (\frac{3}{x} + 5)

- \frac{3}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{x} + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{3}{x}) + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= - \frac{3}{x ^{2}} + 0

Vereinfache

= - \frac{3}{x ^{2}}

\int (\frac{1}{x ln ( x )}) d x

\frac{\partial}{\partial x} (x y^{2} - 5 y + 6)

t an g e n t f (x) = 6 x sin (x), at x = \frac{π}{2}

\frac{d}{d x} (c e^{4 x})

x \to \infty lim (8 x - 32)