You have,Originally Posted by dadon
Thus,
thus,
Thus,
Substitute, and divide by 2,
Thus,
Hi All!
Having a problem when differentiating for the second time an implicit equation.
I'll give two example problems:
Not to sure how to take it from here to do the second derivative
Second problem:
Also not sure how to take it from here to get .
Your help will be appreciated. Thanks
Regards,
dadon
@ ThePerfectHacker: are you sure about that? Where did your 3rd line come from?
Now substituting the expression we have for y' gives
First one goes the same.
Edit: I think you were trying to take the derivative again, after 2x+2yy'=0 but don't forget that y and y' are a function of x. The derivative would give:
Now substituting for y' again yields the same result as above.