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 Let f be a strictly increasing and differentiable function. Then 2 x 0 f(x)-f (x) lim f(x) - f(0) → equals– English · TGT 2004 Q04 Let u (x) and v(x) be differential functions such that u(x) 7. v(x) = If () u' x v'(x) =p and ' u(x) q v(x) =, then... English · OAVS TGT 2022 Q05 Let f be real-valued function such that f (2) = 2 and f' (2) = 1 then 3 f (x) 2 x 2 4t lim x 2 → → − − ∫ ∫ dt is eq... English · TGT 2005 Q06 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