derivative of ln(2x-3)

Lösung

\frac{d}{d x} (ln (2 x - 3))

\frac{2}{2 x - 3}

Schritte zur Lösung

\frac{d}{d x} (ln (2 x - 3))

Wende die Kettenregel an:

\frac{1}{2 x - 3} \frac{d}{d x} (2 x - 3)

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

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

= \frac{1}{2 x - 3} \cdot 2

Vereinfache

\frac{1}{2 x - 3} \cdot 2 : \frac{2}{2 x - 3}

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

in v erse l a pl a ce \frac{( 5 e ^{- s} )}{s + 1}

t an g e n t f (x) = 3 x + 7, at a = 6

\frac{d}{d y} (\frac{x}{( x + y ) ^{2}})

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

\int x^{3} - \frac{1}{x ^{2}} - x^{\frac{2}{3}} d x