Question

Find the derivative of y ith espect to x:
y=(2x+1) ln(x-1)

Answer 1

Use the product rule. u=2x+1, v=ln(x-1)

\[d(u*v)/dx \ = \ u*v' + v*u' = (2x+1) * 1/(x-1) + \ln(x-1) * 2\]
and you can simplify after that.

Answer 2

u' = 2 and v' = 1/(x-1) if I recall correctly...