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 -1 (x) = cot x + x f increases in the interval: English · EMRS PGT-2023 Q03 The minimum value of the quadratic function f(x) = 3x2 - 6x + 5 is: English · KVS PGT 2023 Q04 The interval in which the function f(x) = 4x3 − 6x2 − 72x+ 30 decreases is: English · NVS PGT 2022 Q05 If b < 0, then function f(x) = bx2 + ax + c: English · OAVS TGT 2018 Q06 The function sin (ex), where x > 0: English · JSSC PGT 2018