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List of top Mathematics Questions on Directional derivatives

A unit vector which is perpendicular to the surface of the paraboloid of revolution $z = x^2 + y^2$ at the point (1,2,5) is
  • AP PGECET - 2026
  • AP PGECET
  • Mathematics
  • Directional derivatives
The directional derivative of \( f(x,y) = x^3 + y^3 \) at \( (1, 1) \) in the direction of a unit vector which makes an angle of \( \frac{\pi}{3} \) with the x-axis is ___ .
  • AP PGECET - 2024
  • AP PGECET
  • Mathematics
  • Directional derivatives
The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is
  • BCECE - 2017
  • BCECE
  • Mathematics
  • Directional derivatives