Mathematics

Problem

The curve is defined by

x=e^{t}

and

y=\ln t

. After eliminating the parameter

t

, which of the following expressions equals

\dfrac{dy}{dx}

in terms of

x

alone? a)

\dfrac{1}{x(\ln x)^{2}}

\dfrac{1}{x\,\ln x}

\dfrac{\ln x}{x}

\dfrac{1}{x}