Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematical Science Analysis Functions of Several Variables
Given that there exists a continuously differentiable function g defined by the equation F(x, y) = x3 + y3 - 3xy - 4 = 0 in a neighborhood of x = 2 such that g(2) = 2. find its derivative.
1
g'(x) = = -(x2 – y)/(y2)
2
g'(x) = = -(x2 – y)/(y2 – 1)
3
g'(x) = = -(x2 – y)/(y2 – x)
4
g'(x) = = (x2 – y)/(y2 – x)