Samir posted an Question
December 29, 2021 • 11:10 am 30 points
  • IIT JAM
  • Mathematics (MA)

1. let f(x.y)=+ (y)= (0.0). (y)= (0,0) (a) show that f, (0,0) and f, (0,0) both exist but f is not differentiable at (0,0). (b) find the rate of change of f at

1. Let f(x.y)=+ (y)= (0.0). (y)= (0,0) (a) Show that f, (0,0) and f, (0,0) both exist but f is not differentiable at (0,0). (b) Find the rate of change of f at the point P(2,0) in the direction from P to (c) Find the direction in which f decreases most rapidly and increases most rapidly at the point (2.1). (d) Find the tangent plane to the given surface z=f(x. y) at the point (0,2,2).

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