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(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 Q04 If y x 2 x 4 for all x R then the value of dy dx at x = 1 is equal to: English · UP PCS (Pre) 1995 Q05 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 Q06 If f(x) be a quadratic expression which is positive for all x, and if g(x) = 2 df d f f(x) + dx dx + then for any r... English · TGT 2004