limit as x approaches a of (ln(x)-ln(a))/(x-a)

Lösung

x \to a lim (\frac{ln ( x ) - ln ( a )}{x - a})

\frac{1}{a}

Schritte zur Lösung

x \to a lim (\frac{ln ( x ) - ln ( a )}{x - a})

Wende das L'Hopital Theorem an

= x \to a lim (\frac{\frac{1}{x}}{1})

Setze den Wert

x = a

ein

= \frac{\frac{1}{a}}{1}

Vereinfache

= \frac{1}{a}

\int (\frac{sec ( x )}{tan ( x )})^{4} d x

\frac{d y}{d x} = e^{4 x - 3 y}, y (0) = 2

\int \frac{sin ^{5} ( x )}{cos ( x )} d x

d er i v a t i v e y = x

\frac{\partial}{\partial s} (t^{2} - 2 s^{2})