Math Chapter Wise question with answer

Q01 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 Q02 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 Q03 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 Q04 If f(x) is continuous in closed interval [a, b] and differentiable in open interval (a, b), then there must be a va... English · PGT 2009 Q05 If f(x) x x R, = ∀ ∈ = ∀ ∈ = ∀ ∈ = ∀ ∈ then the interval for which ƒ satisfied all the conditions of Lagrange’s mea... English · Rajasthan TGT 2011 Q06 If f (x) = x3 + 3x, then f(4) f(?) f(c) 4 0 the value of c ∈ (0,4) such that– English · UP PCS (Pre) 1995