Chemical Engineering > GATE 2026 > Vector Calculus
A two-dimensional temperature profile is given as T = 2x2 + 3xy + y2. If î and ĵ are the unit vectors along x and y directions, respectively, which one of the following is the directional derivative (gradient) of T at the location x = 2, y = 2?
A
8î + 12ĵ
B
14î + 10ĵ
C
8î − 12ĵ
D
14î − 10ĵ

Correct : b

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temperature profile chemical engineering GATE Chemical Engineering 2026 directional derivative gradient vector chemical engineering gate temperature gradient chemical engineering derivatives GATE 2026 question 21 vector calculus chemical engineering

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