NDA2023MathematicsDifferentiationActual
Paragraph: Let f(x)=| x|, x 1 Question: What is the derivative of f f(x) , where 1 x 2 ?
Options
- A1 x
- B1 x x
- C- 1 x
- D- 1 x x
Correct answer
D. - 1 x x
Step-by-step solution
Since, 1 x 2 | x|= x and 0 x 2 | x|=- x Hence y = fof (x)=| || x|=- ( x) , for x 2y^ = -1 x 1 x y^ = -1 x x