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    Finding gradient vector and equation of tangent plane

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    Consider the function f(x,y)=∜(x^2+y^2 )
    Find the gradient vector of the function at the point (1, 1).
    Find the equation of the tangent plane at the point (1, 1)

    I've tried to solve the gradient vector of the function by trying to differentiate the x and y values of the unction. I'm just unsure how to do this when the function is a fourth root factor. Any assistance would be valuable.

    © BrainMass Inc. brainmass.com October 7, 2022, 6:02 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/finding-gradient-vector-equation-tangent-plane-182039

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Consider the function
    (a) Find the gradient vector of the function at the point (1, 1).
    (b) Find the equation of the tangent plane at the point (1, 1)
    I've tried to solve the gradient vector of the function by trying to differentiate the values of the unction. I'm just unsure how to do this when the function is a fourth root factor. Any assistance would be valuable.

    Solution:
    (a)

    Gradient vector =

    (b)
    f(1,1) = 2^1/4
    Equation of tangent at (1, 1) will be

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 7, 2022, 6:02 pm ad1c9bdddf>
    https://brainmass.com/math/graphs-and-functions/finding-gradient-vector-equation-tangent-plane-182039

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