Math Chapter Wise question with answer

Q01 Find the directional derivation of Du f(x, y) at the point (x, y) = (1, 2), where f (x, y) = x3 – 3xy + 4y2 and u i... English · JSSC PGT 2018 Q02 If u is a homogeneous function of x and y of degree n, the value of ∂ ∂ ∂ ∂ ∂ 2 2 2 2 2 u u u x + 2xy + y x y is English · UPPSC Ashram Paddhati 2021 Q03 If L= → 2 2 (x,y) (0,0) sin(x + y) lim x + y and () → 2 2 (x,y) (0,0) x – y M = lim,then - x + y English · UPPSC Polytechnic Lecturer 2021 (I) Q04 If F is a differentiable point vector function and its second order partial derivative exists, then () (.) ∇ × ∇ ×... English · PGT 2005 Q05 If F(u) = f(x,y,z) is the homogeneous function of degree n in x,y,z and ux= u x ∂ etc, then, xux+yuy+zuz= English · Rajasthan TGT 2013 Q06 If u =2(ax+by)2 –(x2 +y2) and a2 +b2 = 1, then the value of 2 2 u u x y ∂ ∂ + ∂ ∂ is: English · UP PCS (Pre) 1999