- Tardigrade
- Question
- Mathematics
- Statement-1: Let f ( x )= x 3- ax 2+ bx +6 where a , b ∈ 1,2,3,4,5,6 . The probability that f(x) is strictly increasing function is (4/9). Statement-2: If y=g(x) is differentiable function in (-∞, ∞) then g(x) is strictly increasing provided g prime(x) ≥ 0 where sign of equality holds at discrete point(s).
Q.
Statement-1: Let where . The probability that is strictly increasing function is .
Statement-2: If is differentiable function in then is strictly increasing provided where sign of equality holds at discrete point(s).
Solution: