Math Chapter Wise question with answer

Q01 If the function f given by f(x)= x3 –3 (a– 2)x2 +3ax + 7, for some a∈R is increasing in (0, 1] and decreasing in [1... English · EMRS PGT-2023 Q02 The function sinp θ cosq θ attains its maximum value, when- English · UP PGT 2009 UPPSC GIC 2021 Q03 If the function f(x) = a sinx + 1 3 sin3x has maximum value at x = π 3, the value of a is English · UP PGT 2011 UPPSC Ashram Paddhati 2021 Q04 The maximum value of the function y = sin x (1 + cos x), 0 2π x ≤ is: English · UKPSC Lecturer (Mains) 2020 Q05 The least possible value of 'a' for which the function f(x)=x2 +ax+1 may be increasing in the interval [1, 2] is English · UP PGT-2016 (02-02-2019) Q06 Which of the following function is decreasing on 0, 2? English · SECTION B PGT TIER-I 31.11.2014