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Let f(x) be a function defined in 1lexle...

Let f(x) be a function defined in `1lexleoo` by
`f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):}`
What is the differentiable coefficient of f(x) at x=3 ?

A

1

B

2

C

`-1`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
D
`f'(x)={{:(-1" for "1gexle2),(3-2x" for "xgt2):}`
`f(x)" at "x-3`
`f'(3)=3-2(3)=3-6=-3`
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NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
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  14. Consider the following statements: 1. The function f(x)=[x] where [....

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