NDA2018MathematicsApplication of DerivativesActual
Which one of the following is correct in respect of the function f(x)=x x+ x+ 1 2 ^2 x ?
Options
- AIt is increasing in the interval (0, 2 )
- BIt remain constant in the interval (0, 2 )
- CIt is decreasing in the interval (0, 2 )
- DIt is decreasing in the interval ( 4 , 2 )
Correct answer
A. It is increasing in the interval (0, 2 )
Step-by-step solution
aligned & f(x)=x x+ x+ 1 2 ^2 x & f^ (x)=x x+ x- x- x x & = x(x- x) 0 in (0, 2 ) aligned