



 
Hi Walter, I differentiated both sides with respect to x, multiplied both sides by 1/3 and was left with
Solving for dy/dx gives
At this point I see two choices, you can differentiate equation 1 or equation 2 to find an expression for the second derivative of y with respect to x. I would differentiate equation 1 as I try to avoid the quotient rule if possible. In either case the expression you obtain will involve the second derivative as well as dy/dx. Substitute for dy/dx using equation 2 and simplify. If you are comparing your answer with one given in the textbook you may need to do some algebra to show they are equivalently as there are different ways to express the result. Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 