derivative of sqrt(5/x)

Lösung

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

- \frac{5}{2 x ^{\frac{3}{2}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 \frac{5}{x}} \frac{d}{d x} (\frac{5}{x})

= \frac{1}{2 \frac{5}{x}} \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= \frac{1}{2 \frac{5}{x}} (- \frac{5}{x ^{2}})

Vereinfache

\frac{1}{2 \frac{5}{x}} (- \frac{5}{x ^{2}}) : - \frac{5}{2 x ^{\frac{3}{2}}}

= - \frac{5}{2 x ^{\frac{3}{2}}}

in v erse l a pl a ce \frac{89}{2} s

(e^{- \frac{1}{x}})^{^{'}}

d er i v a t i v e f (x) = (x^{2} + 2 x)^{3} (7 x + 1)^{4}

\frac{d y}{d x} = - \frac{x}{y}

\int \frac{1}{( x ^{2} ) \cdot 25 x ^{2} + 16} d x