Math Chapter Wise question with answer

Q01 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 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 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 Q04 If 1 forx 0 f(x) 1 x forx 0 ≤ = + > then 2 f(x)dx − ∫ ∫ is equal to: English · PGT 2002 Q05 Let f(x) be a continuous function defined for all x>0 that satisfy f(x/y)= f(x)–f(y) for all x, y and f(e)=1. Then: English · NVS PGT 10-06-2019 Q06 If for 'A' and 'B' are two parameters y = A cos3x + B sin 3x, then English · Jharkhand TGT 2017