91Ó°ÊÓ

Differentiate. \(y=\ln \frac{(x+1)^{4}}{e^{x-1}}\)

Determine all functions \(y=f(x)\) such that \(y^{\prime}=3 y\) and \(f(0)=\frac{1}{2}\).

As \(h\) approaches 0, what value is approached by the difference quotient \(\frac{e^{h}-1}{h} ?\left[\right.\)

Graph \(y=\ln 5 x\) and \(y=2\) together and determine the \(x\) -coordinate of their point of intersection (to four decimal places). Express this number in terms of a power of \(e\).