Problem: Find values of a and b so that the function has a local maximum at the point (6, 18).
How do I solve this? Could you show your steps so I can see what you're doing and why? Also, how do you solve it to be a local maximum or minimum? I don't understand the concept of this problem at all, much less this specific problem.
EDIT: I found the value of b by taking the derivative of the original equation, which is:
Then I solved for a:
I plugged that back into the original derivative, set it equal to 0, and solved for b, getting , which is correct.
However, I can't figure out how to solve for a now! I keep getting an answer of 0, which I know isn't right!