Solve the below:
Q1: Find the derivative of the following functions:
i) f(x) = 3 ln(x) / x^2
ii) f(x) = 3 x^2 ln(2x)
iii) f(x) = ln(3 x^2 - 2 x + 1)
iv) f(t) = e^2t ln(t + 1)
Q2: A car is 30 miles north of town, heading north at 25 miles per hour. At the same time, a truck is 40 miles east of town, traveling east at 50 miles per hour. At what rate is the distance between them increasing?