Math Chapter Wise question with answer

Q01 If u = log(x3 +y3 +z3 –3xyz), then the value of 2 + u x y z ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ + ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ is: English · UP PCS (Pre) 1999 Q02 If ((())) ((()) f x cos logx = then (((()))) + × x f f x y y equal to. English · PGT 2013 Q03 If 2 2 u log x y, then 2 2 u u x y English · UP PCS (Pre) 2003 Q04 If u = loge(x3 +y3 +z3) than ∂ ∂ ∂ + + ∂ ∂ ∂ u u u x y z is equal to English · UP PCS (Pre) 2008 Q05 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) Q06 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