derivative of 3/(x^2+1/x)

Lösung

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

- \frac{6}{x ^{3}} - \frac{1}{x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

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

= - \frac{6}{x ^{3}} - \frac{1}{x ^{2}}

\int \frac{1}{x ^{2} - 2 x + 10} d x

49 y^{^{''}} + 28 y^{^{'}} + 4 y = 0

16 y^{^{''}} - 40 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 94

x \to 0 lim (x \cdot sin (\frac{π}{x}))

m = \frac{9}{5 + h} - \frac{9}{5}