Consider the following statements for f(x)=e^ -|x| : 1. The function is continuous at x=0. 2. The function is differentiable at x=0. Which of the above statements is/are correct?

NDA 2020 Mathematics question

Consider the following statements for : 1. The function is continuous at . 2. The function is differentiable at . Which of the above statements is/are correct?

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

is a composition of continuous functions, so it is continuous at 0 (1 correct). For , with derivative at ; for

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Question ID VK-029262