You neglected to use the chain rule when you differentiated. The right side of your equation after differentiation should be . Now solve for by dividing through by .
I have an issue with a problem.
I have the following function...
I'm asked to find and interpret the marginal cost dC/dx at x = 5.
Using implicit differentiation, which isn't really too hard because each variable is already on separate sides of the equation, I came up with the answer of
However, when I plug 5 into the derivative, I get an answer of about 16.18. I should be getting 0.94. Can someone give me a tip on what I've done wrong here?
When you say divide through by what exactly do you mean by that? I thought that once the variables with are isolated on one side, that you then factor that out, and then divide the x-valued side, by the C valued side. If I were to do this, wouldn't I end up with this?
I didn't think this would be correct because I'm supposed to solve for C. Or now do I plug in x=5, THEN isolate C?
Still a bit lost...