Math Chapter Wise question with answer

Q01 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 Q02 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 Q03 The set of points where the function f(x)=|2x−1|. sinx, is differentiable is: English · KVS PGT 2022 Q04 If f(x) is a differentiable function, then x αf(x) f(α) lim x α → − x is: English · UKPSC Lecturer (Mains) 2020 Q05 The function ((())) [ [ [ ] ] f | x 1| | x 2|,x 0,3 x = − + − ∈ = − + − ∈ = − + − ∈ = − + − ∈ is not differentiable... English · UK SSSC LT 2020 Q06 If f and g are twice differentiable function and f(p) = 3, f'(p) = –2, g(p) = –1, g'(p) = 4, then: () () () () → −... English · Haryana PGT 2018