Thread: Implicit Differentiation Help finding the derivative of this function.

Find the derivative of sqrt x = 5 x sqrt y


Answer in the back of the book doesnt make sense to me. d/dx = 1/25

HELPPP!!!!

Originally Posted by Mathinik

Find the derivative of sqrt x = 5 x sqrt y


Answer in the back of the book doesnt make sense to me. d/dx = 1/25

HELPPP!!!!

Is it or ?

Also, were you asked to find the derivative at a POINT, or just the derivative?

times. we were asked to find the derivative

So it's . Solving for y gives

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.

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.

so (sqrt y) / (5(sqrt x)) would still be correct if i use implicit differentiation?

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?

Originally Posted by Mathinik

so (sqrt y) / (5(sqrt x)) would still be correct if i use implicit differentiation?

You would be expected to fully simplify it.