Math Chapter Wise question with answer

Q01 The function f(x, y) = 3x2 y + 4y3 – 3x2 – 12y2 + 1 has a saddle point at. English · Bihar (TRE 1.0) -2023 Q02 Let f(x, y) = 2 2 2 x y x + y for (x, y) ≠ (0, 0) then English · Bihar (TRE 1.0) -2023 Q03 If 2 xy z = e,x = tcost,y = tsint, then the value of dz π at,t = is - dt 2 English · UPPSC Polytechnic Lecturer 2021 (I) Q04 If V = (x2 + y2 + z2)–1/2, then ∂ ∂ ∂ ∂ ∂ ∂ V V V x + y + z x y z is equal to English · UP PGT 2021 Q05 If u = x y +, then the value of 2 2 2 2 2 2 u u u x xy y, x y ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ + + ∂ ∂ is - English · UPPSC GIC 2021 Q06 If u = f (y/x), then the value of u u x y ∂ ∂ + ∂ ∂ is – English · UPPSC GIC 2021