derivative of x/(11-(11)/x)

Lösung

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

\frac{1}{11} + \frac{11}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x}{11}) - \frac{d}{d x} (\frac{11}{x})

\frac{d}{d x} (\frac{x}{11}) = \frac{1}{11}

\frac{d}{d x} (\frac{11}{x}) = - \frac{11}{x ^{2}}

= \frac{1}{11} - (- \frac{11}{x ^{2}})

Vereinfache

= \frac{1}{11} + \frac{11}{x ^{2}}

\frac{d}{d x} (2 x + \frac{1}{ln ( x ^{2} + e ) + 1} - 4)

\frac{d}{d x} (5 6 x)

d er i v a t i v e \frac{x}{4} arcsin (x)

\frac{\partial}{\partial x} (\frac{1}{2 x ^{2}})

x \to 0 lim (\frac{10}{x})