Assignment:
Q1. Differentiate 5x-1/x / 3-ln x **in words, 5x minus 1 over x, divided by 3 minus ln x**
Q2. Differentiate (ln(3x) - e^2x +1)^-2 **at the end, is to the -2 power**
Q3. Find the price elasticity of demand at a price of $2 if D(x)=6 / 3x-1 **The price elasticity of demand is PE(P)= -p D' (p) / d(P)
Q4. Maximize the area of a rectangle in which the length is 20 minus the width.
Q5. Use the definition of a derivative to differentiate 5/2x
Provide complete and step by step solution for the question and show calculations and use formulas.