Math Chapter Wise question with answer

Q01 If two functions f and g (i) are continuous in [a,b] (ii) are derivable in ]a, b[ (iii) f' (x) = g' (x) ∀ ∀ ∀ x∈ ]a... English · PGT 2010 Q02 If f(x) = x3 and g(x) = x3 − 4x in −2 ≤ x ≤ 2, then consider the statements English · NVS PGT 2022 JDD-75-PGT TIERII-X -15 28.06.2015 Q03 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 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 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 Q06 If a curve is continuous between two points A and B on the curve and possesses a unique tangent at each of its poin... English · UP PGT 2009 UP PCS (Pre) 2000 UKPSC Lecturer (Mains) 2020