Re: Implicit Differentiation Help finding the derivative of this function.
Originally Posted by Prove It
So it's . Solving for y gives
My instructor said to not solve for y and do what we nomrmally do, take the derivative of each term wit respect to x, and treat y like an x and multiply it with dy/dx.
Re: Implicit Differentiation Help finding the derivative of this function.
Originally Posted by Mathinik
My instructor said to not solve for y and do what we nomrmally do, take the derivative of each term wit respect to x, and treat y like an x and multiply it with dy/dx.
Then your instructor is a Goober for making you do something the long way when there is very clearly a much simpler way to go about it. You should use Implicit Differentiation ONLY when it would be easier than trying to solve for y and taking the derivative explicitly.
Re: Implicit Differentiation Help finding the derivative of this function.
Originally Posted by Prove It
Then your instructor is a Goober for making you do something the long way when there is very clearly a much simpler way to go about it. You should use Implicit Differentiation ONLY when it would be easier than trying to solve for y and taking the derivative explicitly.
so (sqrt y) / (5(sqrt x)) would still be correct if i use implicit differentiation?