Math Chapter Wise question with answer

Q01 If the function ≤ 2 x + 3x + a: x 1 bx + 2: x > 1 f(x) = is differentiable for all real x, then the values of a and... English · UP PCS (Pre) 2008 Q02 Let f & g be the two real-valued functions defined on [a, b] and h (x) = max {f (x), g (x)} for x ∈ [a, b]. Which o... English · JSSC PGT 2018 Q03 2 cosx 1 f(x), cot x 1 for π xxxx ≠≠≠≠ 4444 and f(x), at x. 4 What should be the value of α to make f(x) continuous... English · OPSC PGT 2017 Q04 Let f(x+ y) = f(x) f(y) for all real values of x and y. If f(5) = 2, f'(0) = 3 then f'(5) = English · UKPSC Lecturer (Mains) 2020 Q05 Let f: () ∞ → 0, R be a differentiable function, such that f'(x2) = 1 – x3 for all x > 0 and f(1) = 0, then f(4) = English · Haryana PGT 2018 Q06 Let f: R→ → →R be a differentiable function such that f'(x2)=4x2 –1 for x > 0 and f(1)=1. Then f(4) is English · LT 2018