NDA2022MathematicsContinuity and DifferentiabilityActual
Let y=[x+1],-4 x -3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x=-3.5 ?
Options
- A-4
- B-3.5
- C-3
- D0
Correct answer
D. 0
Step-by-step solution
aligned & -4 x -3 & -3 x +1 -2 & [ x +1]=-3 & y =-3 & dy dx =0 aligned