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. f^{\prime}(2+0)
d o e s n o t e x i s t . 2. does not exist.
2. d oes n o t e x i s t .2. f^{\prime}(2-0)
d o e s n o t e x i s t . 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 ? does not exist.
Which of the above statements is/are correct? d oes n o t e x i s t . 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 Correct answer D. Neither 1 nor 2
Step-by-step solution
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