Aerospace Engineering > GATE 2019 > Partial Derivatives
A scalar function is given by f(x, y) = x2 + y2. Take î and ĵ as unit vectors along the x and y axes, respectively. At (x, y) = (3, 4) the direction along which f increases the fastest is _______.
A
(1/5)(4î - 3ĵ)
B
(1/5)(3î - 4ĵ)
C
(1/5)(3î + 4ĵ)
D
(1/5)(4î + 3ĵ)

Correct : c

Similar Questions

The direction in which a scalar field φ(x, y, z) has the largest rate of change at any point with position vector r⃗ = xî + yĵ + zk̂ is the same as that of the...
#84 MCQ
If → denotes increasing order of intensity, then the meaning of the words dry → arid → parched is analogous to diet → fast → ______. Which one of the given opt...
#10 MCQ
If two positive non-zero real variables x and y are such that (x+y) is proportional to x/y, then x+y:
#11 MCQ

Related Topics

scalar function direction of fastest increase gradient vector GATE Aerospace Engineering 2019 GATE AE 2019 Q13 maximum increase direction vector calculus partial derivatives

Unique Visitor Count

Total Unique Visitors

Loading......