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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.

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This solution includes step by step detailed explanation of finding gradient vector and equation of tangent plane of a given function at a point.

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Consider the function
(a) Find the gradient vector of the function at the point (1, 1).
(b) Find the equation of ...

Solution provided by:
Sandhya Sharma, MSc
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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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