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Engineering Mathematics
Linear Algebra
GATE 2017
Easy

For F(x,y)=x³+y², the gradient ∇F is given by

  • A3x²i − 2yj
  • B6x²y
  • 3x²i + 2yj
  • D2yi − 3x²j

Explanation

∇F=(∂F/∂x)i+(∂F/∂y)j=3x²i+2yj.

Source: GATE CH 2017 (2017)

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