For this problem, assume all variables are scalars (i.e., not vectors or matrices). If youre lost, read up on basic derivatives and the chain rule of calculus!

1. Lets say L = 0.5(a b) 2 . What are L/a and L/b ? In other words, what are the partial derivatives of L with respect to a and b?

2. Lets say a = log(3mn). What is L/m?

3. I want to write a program that computes L/a , L/b , and L/m. I could do this by writing three separate and independent functions that each return one of the derivatives. Is there a faster solution? Explain your answer.

I am really confused on question 3