1) The number of critical points of f(x, y) = x^3 + 3xy^2 + 3y^2 – 15x + 2 is22.214.171.124.2.2) If g(u, v, w) = (u^2+ 3v)^2(4w- 5), then gwu(-1, 1, 3) =-64.32.16.-32.64.3) If f(x, y) =x^2y, then fyx(1, 0) =126.96.36.199.2.4) If f(x, y, z) =x^2yz^2+xy^2z+xy, then fx(1, 2, 3) =188.8.131.52.none of the above5) If z=e^(x/y), then dz/dy=- x/y^2 ex/y.y/x ex/y.x^2/y ex/y.x/y ex/y.1/y ex/y.6) The function f(x, y) =x^2+ 1/3y^3+ 2xy- 8y+ 6 has a relative minimum at(-4, 4).(6, -6).(2, -2).(-3, 3).(3, 6).7) The number of critical points of f(x, y) =x^2+x^2y+y^2- 2y+ 2 is184.108.40.206.3.8) The function f(x, y) = x^3 + y^2 + xy – 6x + 3 has a relative minimum at(3, -3).(-2, 2).(-3, 3).(2, 2).(2, -2).9) if √(x^2+6y), then dz/dy=3y÷√(x^2+6y) +√(x^2+6y)y ÷√(x^2+6y) +√(x^2+6y)√(x^2+6y)3y ÷√(x^2+6y)(2x+6)y√(x^2+6y)10) if f(x,y)= (3xy+y^2) / (x^2 y^3 +9), then fx(x,y)=(3y) ÷ (2xy^3)3x ÷ (x^2y^3 +9)^2y(27+9x^2y^3 +2xy^4) ÷ ( x^2y^3 +9)^2y(27 -3x^2y^3 -2xy^4) ÷ (x^2y^3 +9)^2none of the above
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