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Social ScienceEavluate the gradient vector at the given point.a) f(x,y) = cos2(πxy) at (1,-1)b) f(x,y,z) = xeyz at (2,1,0)
Eavluate the gradient vector at the given point.
a) f(x,y) = cos2(πxy) at (1,-1)
b) f(x,y,z) = xeyz at (2,1,0)
Expert Answer
a) Given function is
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f(x, y) cos (Txy)
Firstly, we find partial derivatives of f with respest to x and y
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s(х.у) —- 2лусos(тху)sin(тxy) S (х, у) --2тхсos(тху)sin (тху)
Now, gradient vector of f(x,y) at...
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У(х,у) - 1.(х.у)і +s, (х,y)j V(х.у) -- 2лусos (тху)sin (тxу)i - 2лх сos (тху)sin (тху) j
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