Qs:A: For the surface f(x, y) = xy²-2², , at point (1,1,1) find: (1) the gradient of f: (2) the derivative off in the direction of = 2i+j-k; (3) the maximum directional derivative of f; (4) the direction of maximum derivative of f; (5) the equation of the tangent plane to the surface.

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Q₁:A: For the surface f(x, y) = exy²-2², at point (1,1,1) find:
(1) the gradient of f; (2) the derivative off in the direction of = 2i+j-k; (3) the maximum
directional derivative of f; (4) the direction of maximum derivative of f: (5) the equation of
the tangent plane to the surface.
and
Transcribed Image Text:Q₁:A: For the surface f(x, y) = exy²-2², at point (1,1,1) find: (1) the gradient of f; (2) the derivative off in the direction of = 2i+j-k; (3) the maximum directional derivative of f; (4) the direction of maximum derivative of f: (5) the equation of the tangent plane to the surface. and
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