Math Chapter Wise question with answer

Q01 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 Q02 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 Q03 The function -1 (x) = cot x + x f increases in the interval: English · EMRS PGT-2023 Q04 The minimum value of the quadratic function f(x) = 3x2 - 6x + 5 is: English · KVS PGT 2023 Q05 The interval in which the function f(x) = 4x3 − 6x2 − 72x+ 30 decreases is: English · NVS PGT 2022 Q06 The function f(x)=2x3 −15x2 +36x+4 has maximum value when value of x is English · KVS PGT 2022