Math Chapter Wise question with answer

Q01 If f(x)=log(x2 +1) then, lim x 2 f(x) f(2) x 2 → − is equal to English · TGT 1999 Q02 If 2 f(x) = log(x +1) then x 2 lim → f(x)-f(2) x - 2 is equal to: English · UP PCS (Pre) 2001 Q03 For x > 1, if (2x)2y = 4e2x–2y, then (1 + loge 2x)2 d y x is equal to: English · EMRS PGT-2023 Q04 If x loge (loge x) – x2 +y2 = 4 (y > 0), then dy dx at x = e is equal to: English · EMRS PGT-2023 Q05 If sin (x + y) = log (x + y) then dy dx equal to English · TGT 2003 Q06 If y = log x then n d y dx = is equal to: English · PGT 2011