Please answer questions A to C and make sure the solution is written every steps and clearly.

Researchers have found a correlation between respiratory rate and body mass in the first three years of life. This correlation can be expressed by the function log R(w) = 1.85 -0.42 log (w), where w is the body weight (in kilograms) and R(w) is the respiratory rate (in breaths per minute). a. Find R'(w) using implicit differentiation. b. Find R'(w) by first solving the equation for R(W). c. Discuss the two procedures. Is there a situation when you would want to use one method over another? a. R'(W) = (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)