Math Chapter Wise question with answer

Q01 Let f be a function defined as [a,a +h];h > 0 so that (i) f is continuous of [a,a+h] (ii) f is derivable on (a,a +h... English · PGT 2010 Q02 Let f be a continuous function on the closed interval [a, b], a<b, such that f is differentiable in the open interv... English · UP PCS (Pre) 1999 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 Let f''(x) be continuous on [a, b] and f(x) has three zeros is (a, b), then the minimum number of zeros of f"(x) is... English · UKPSC Lecturer (Mains) 2020 Q05 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 Q06 For the function f(x)= 1 x + 1, defined on the interval[0, 2], the point at which the derivative satisfies mean val... English · UKPSC GIC 2018