Math Chapter Wise question with answer

Q01 If f(x) is a differentiable function, then x αf(x) f(α) lim x α → − x is: English · UKPSC Lecturer (Mains) 2020 Q02 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 Q03 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 Q04 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 Q05 The function f is defined as At x 1 = 2 ax b, x 1 f(x) 1 x 1 x − < = − − ≥ is differentiable then the value of a an... English · Rajasthan TGT 2015 Q06 Let f:[1, [ [2, [ ∞ → ∞ ∞ → ∞ ∞ → ∞ ∞ → ∞ be a differentiable function such that f '(2) 4 =. If x 3 1 6 f(t)dt 3xf(... English · KVS PGT 23-12-2018