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Questions by Sun K. from Los Angeles, CA

Find the directional derivative?

Find the directional derivative of f(x, y)=x^2*y+4y^2 at (2, 1) for u=<1/2, sqrt(3)/2>. Answer: 2+6sqrt(3) The gradient is <2xy, 8y> at (2, 1)=<4, 8> And <4, 8>*<1/2, sqrt(3)/2>=2+4sqrt(3) This...