BITSAT2023MathematicsApplication of DerivativesActual
The interval in which the function f(x)= 4 x^2+1 x is decreasing is :
Options
- A(- 1 2 , 1 2 )
- B[- 1 2 , 1 2 ]
- C(-1,1)
- D[-1,1]
Correct answer
A. (- 1 2 , 1 2 )
Step-by-step solution
Given f(x)= 4 x^2+1 x Thus f^ (x)=4- 1 x^2 f ( x ) will be decreasing if f ^ ( x ) Thus 4- 1 x^2 4 -1 2 Thus interval in which f(x) is decreasing, is (- 1 2 , 1 2 ) .