NDA 2014
Exam NDA
Year 2014
Subject Mathematics
Chapter Continuity and Differentiability NDA 2014 · Mathematics · Continuity and Differentiability
Paragraph : Let f(x) be a function defined in 1 ≤ x 2 array . ....
Paragraph : Let
f ( x ) f(x) f ( x ) be a function defined in
1 ≤ x < ∞ 1 \leq x < \infty 1 ≤ x < ∞ by
f(x)=\left\{ 2 − x for 1 ≤ x ≤ 2 3 x − x 2 for x > 2 \begin{array}{ll}
2-x & \text{ for } 1 \leq x \leq 2 \\
3 x-x^2 & \text{ for } x > 2
\end{array} 2 − x 3 x − x 2 for 1 ≤ x ≤ 2 for x > 2 \right. \text{. } Question :
Consider the following statements:
1. The function is continuous at every point in the interval [1, \infty]
. 2. T h e f u n c t i o n i s d i f f e r e n t i a b l e a t .
2. The function is differentiable at .2. T h e f u n c t i o ni s d i ff ere n t iab l e a t x=1.5
. W h i c h o f t h e a b o v e s t a t e m e n t s i s / a r e c o r r e c t ? .
Which of the above statements is/are correct? . Whi c h o f t h e ab o v es t a t e m e n t s i s / a recorrec t ? Options A 1 only B 2 only C Both 1 and 2 D Neither 1 nor 2
Step-by-step solution
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