Math Chapter Wise question with answer

Q01 If f(x) satisfies the requirements of Rolle's theorem in [1, 2] and f'(x) is continuous in [1, 2], then the value o... English · DSSSB PGT 2021 Q02 If f(x) = x sinx e, then the value of x in (0, π) for which Rolle's theorem is verified, is English · UKPSC GIC 2018 Q03 If ((())) ((()) 2 3 1 1 = − − = − − = − − = − − f x x then rolle's theorem English · PGT 2013 Q04 Let f(x) = 2 (1 x) and g(x) 1 x; 1 x 1. Then Rolle’s theorem is English · PGT-2013 UP PCS (Pre) 2007, 2004 Q05 If f(x) ≤ 2 x +1,0 x 1 = 3- x,1 < x 2, then Rolle's theorem in [0, 2] is English · UP PCS (Pre) 2009 Q06 If function f(x)=x3 +x2 −6x satisfies Lagrange’s mean value theorem in [−1, 4], then the value of c is: English · KVS PGT 2022