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Math Help - Question about Implicit Differentiation.

  1. #1
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    Question about Implicit Differentiation.

    I'm given the question:

    "Find (dy/dx) for each of the following in terms of x and y using implicit differentiation."

    sqroot(x) + sqroot(y) = 5

    This is what I have so far...

    sqroot(x) + sqroot(y) = 5
    y=(5-sqroot(x))^2
    y'=2(5-sqroot(x))(-x^(-1/2))
    y'=2(5-sqroot(x))(-1/sqroot(x))

    Am I headed in the right direction? If not, can someone show me where I should be heading? My teacher (unfortunately) didn't do a very good job explaining things...

    Thanks.

    EDIT: Sorry, this is all wrong. I solved the problem though.
    Last edited by Jeavus; February 25th 2008 at 06:39 PM. Reason: Solved.
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  2. #2
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    Quote Originally Posted by Jeavus View Post
    I'm given the question:

    "Find (dy/dx) for each of the following in terms of x and y using implicit differentiation."

    sqroot(x) + sqroot(y) = 5

    This is what I have so far...

    sqroot(x) + sqroot(y) = 5
    y=(5-sqroot(x))^2
    y'=2(5-sqroot(x))(-x^(-1/2))
    y'=2(5-sqroot(x))(-1/sqroot(x))

    Am I headed in the right direction? If not, can someone show me where I should be heading? My teacher (unfortunately) didn't do a very good job explaining things...

    Thanks.

    EDIT: Sorry, this is all wrong. I solved the problem though.
    Why don't you post your solution. It might help others.

    -Dan
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