Teaching AWES Army Public School TGT Mock Test 2024 Engineering Mathematics Calculus Differentiability
For the two functions f (x, y) = x3 – 3xy2 and g(x,y) = 3x2y – y3. Which one of the following options is correct?
1
\(\frac {\partial f}{\partial x} = \frac {\partial g}{\partial x}\)
2
\(\frac {\partial f}{\partial x} = - \frac {\partial g}{\partial y}\)
3
\(\frac {\partial f}{\partial y} = - \frac {\partial g}{\partial x}\)
4
\(\frac {\partial f}{\partial y} = \frac {\partial g}{\partial x}\)