NDA2021MathematicsApplication of DerivativesActual
If the function f(x)=x^2-k x is monotonically increasing in the interval (1, ) , then which one of the following is correct?
Options
- Ak 2
- B2 k 3
- C3 k 4
- Dk 4
Correct answer
A. k 2
Step-by-step solution
aligned & f(x)=x^2-k x & f^ (x)=2 x-k aligned For monotonically increasing in (1, ) aligned & f^ (x) 0 & 2 x-k 0 & k 2 x, x (1, ) aligned or k 2