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NDA Math Limit, Continuity and Differentiability

For the next three (03) items that follow:

Let f(x) be a function in

1\le x < \infty

f(x)=\begin{cases} 2-x & \text{for } 1\le x\le 2 \\ 3x-x^2 & \text{for } x>2 \end{cases}

[NDA I 2014]

Question : 100 of 105

Marks: +1, -0

Solution:

x=3

f'(x)=3-2x

\Rightarrow f'(3)=3-6=-3

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