Project ForgeEngineering Mathematics
Linear Algebra
GATE 2015
Easy
A scalar function φ(x,y)=x²+y². The direction of maximum increase in φ at (1,1) is along
- A−2î+2ĵ
- 2î+2ĵ
- C−2î−2ĵ
- D2î−2ĵ
Explanation
∇φ=2xî+2yĵ. At (1,1): ∇φ=2î+2ĵ, which is the direction of maximum increase.
Source: GATE CH 2015 (2015)
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