So, if there is a y in the equation, but no x, do I have to do implicit differentiation?
Or can I treat y as if it were an x in an f(x) function?
For this example it is called g(y) and has y ' s in a quotient. I was thinking of just doing the quotient rule, and then finding the extrema with respect to y. Is this right?
Or can I treat y as if it were an x in an f(x) function?
For this example it is called g(y) and has y ' s in a quotient. I was thinking of just doing the quotient rule, and then finding the extrema with respect to y. Is this right?
-
Hi, it's been a minute since this class, but the rule I remember about Implicit Diff. is that you "solve 'em like you see 'em". So in this case, yes, it would be dy/dx because you have to differentiate with respect to something and usually it's the derivative of x or y with respect to the other. Wolfram Alpha is a great tool I still use and it may help explain some of these things and it definitely helps with your HW. Good Luck and don't give up. Calc I is tough, but it gets easier by Calc 3.