Please form the differential equation for the circle with centre (h,k) and radius r :-
(x-h)^2 + (y-k)^2 = r^2
answer needs to be in the terms of r ,y and its derivatives. I solved it but it gets too complicated at the end. The equations were getting longer and longer and the end of that half-hour exercise the answer came wrong.
Thanks. Now the question is that you must have applied implicit differentiation intuitively.
1. How will I know when to and when not to apply it?
2.And by opening and then differentiating the function also comes under implicit differentiation, right?
3.Why does that tend to become more complicated?
4.And can I use implicit differentiation in all such expressions?
I'll be able to understand it a lot better if you can please answer all the above questions.
It's usually used when you can't write y as a function of x, like in this one.
You can apply it before or after expanding the function.
I think it looks quite simple. What do you mean by complicated?
Why not? As long as you look for y' and have an equation, you can use it.