Math Chapter Wise question with answer

Q01 For the function f(x) = 1 x +, x∈[1, 3], the value of c for mean value theorem is: English · KVS PGT 2023 Q02 The value of 'C' from Lagrange's mean value theorem for the function f(x) = x(x – 1) (x – 2) in the interval 1 0, 2... English · UKPSC Lecturer (Mains) 2020 UP PCS (Pre) 1999, 2006 RPSC PGT- 2022 Q03 Let the function f be differentiable for all x. If f(1) = –2 and f'(x) ≥ 2 for all x ∈ [1,6], then English · UKPSC Lecturer (Mains) 2020 Q04 Rolle's theorem is true for the function 2 f(x) x 4 = − = − in the interval English · PGT 2009 Q05 The value of C (0) C π < < < < in Rolle's theorem for the function f(x) = sinx is English · PGT 2004 Q06 The interval in which Lagrange's mean value theorem is applicable, for the function ≠ 1 f(x) =,x 0 f(0) = 0 x English · UP PCS (Pre) 2009