Consider the function
f(x)=ex2+ln(3x−1),x>31.
Answer the following questions.
a. Part 1: (i) Find f′(x).
b. Part 2: (ii) Determine the slope of the tangent to the curve at x=2.
c. Part 3: (iii) Hence obtain the equation of the tangent line to the curve at x=2. Express your answer in the form y=mx+c.