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(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 Q03 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 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 Let ≠ x f(x) =, for x 0 x f(0) = 5k then: English · UP PCS (Pre) 2001 Q06 Let E ⊆ ⊆ ⊆ℝ ℝ ℝ, f: E → ℝ ℝ ℝ and a ∈E. Suppose there exists a positive real number 'r' such that (a - r, a+r) ∩ E... English · DSE TGT 2019