derivative of 5x+(100/x)

Lösung

\frac{d}{d x} (5 x + \frac{100}{x})

5 - \frac{100}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (5 x + \frac{100}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{100}{x})

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

\frac{d}{d x} (\frac{100}{x}) = - \frac{100}{x ^{2}}

= 5 - \frac{100}{x ^{2}}

x \to 2 lim (\frac{x + 2}{x - 2})

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

\frac{d}{d x} (\frac{x ^{6}}{12} ln (x) - \frac{x ^{6}}{72})

\frac{d}{d x} (e^{- 5 x} - 5 e^{- 5 x} x)

\frac{d}{d x} (x \cdot e^{- 2 x})