Question

compute the derivative of y=ln(x)(e^5x+2)

Answer 1

This requires the rules of derivatives: http://www.allaboutcircuits.com/vol_5/chpt_6/6.html

In particular the product rule.

Answer 2

which basically means:

ln(x) * dx(e^5+2) + e^5+2 * dx(ln(x))