NDA2022MathematicsApplication of DerivativesActual
In which one of the following intervals is the function f(x)= x^3 3 - 7 x^2 2 +6 x+5 decreasing?
Options
- A(- , 1) only
- B(1,6)
- C(6, ) only
- D(- , 1) (6, )
Correct answer
B. (1,6)
Step-by-step solution
aligned & f(x)= x^3 3 - 7 x^2 2 +6 x+5 & f^ (x)=x^2-7 x+6=0 & x=1,6 aligned f ( x ) is decreasing in (1,6) .