find by implicit differentiation
didn't know how to deal with the
the answer is:
For the differentiation of tan^3, use the chain rule !
Here are the first steps :
We know that the derivative of , by the chain rule.
So the derivative of , where will be , by the chain rule.
Now I bet you can differentiate with respect to x (not forgetting that y is a function of x)
Just recall the chain rule... first you take the power and forget everything else:
Now we differentiate:
Now, we must differentiate the stuff inside, so that we get:
So, if we let:
Plug this all in to get:
Now, we can divide everything without a y' to the other side:
Now, we move the y squared over and factor out the y':
Now we divide through by 2xy + 1:
And if you get common denominators it becomes the answer you have... Hope this helps.