If you could show me the steps as well, that would be great. I'm totally lost:

find dy/dx

a) x^2 y^2 = x^3-5y

b) x^4 + 3 x^2 y^3 - y^2 = 5

c) x^3 - 6y^2 = 10

thanks so much for your help :)

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- Mar 24th 2008, 10:18 AMshepherdm1270Implicit Differentiation
If you could show me the steps as well, that would be great. I'm totally lost:

find dy/dx

a) x^2 y^2 = x^3-5y

b) x^4 + 3 x^2 y^3 - y^2 = 5

c) x^3 - 6y^2 = 10

thanks so much for your help :) - Mar 24th 2008, 10:39 AMTheEmptySetpart c
I'll work out the last one yeah here we go!

The Key point here is that and that we need to use the chain rule for the derivative.

so taking the derivative we get...

using the chain rule becuase y is a functin of x.

now we solve for the derivative