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Math Help - Need help finding a linear approximation

  1. #1
    Junior Member
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    Need help finding a linear approximation

    Find the linear approximation of f(x,y)=((x^2+y^2)^(1/2)) and use it to approximate the number ((3.1)^2+(3.9)^2))^(1/2)
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  2. #2
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    Re: Need help finding a linear approximation

    Hey allstar2.

    Can you show us what you have tried? (Hint: The linearization involves the Jacobian matrix).
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  3. #3
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    Re: Need help finding a linear approximation

    Of course you have the nearby point (3^2+4^2)^{\frac{1}{2}}=5.

    You just need the partial derivatives with respect to x and y, and then you can use the chain rule for 2 variables.

    - Hollywood
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