Project ForgeEngineering Mathematics
Linear Algebra
GATE 2009
Medium
The direction of largest increase of the function xy³−x² at the point (1,1) is
- A3i+j
- Bi+3j
- −i+3j
- D−i−3j
Explanation
∇f=(∂f/∂x,∂f/∂y)=(y³−2x, 3xy²). At (1,1): (1−2, 3)=(−1,3). The direction of largest increase is along the gradient vector: −i+3j.
Source: GATE CH 2009 (2009)
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