Consider the function, $f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$ Statement - 1 : $f'\left( 4 \right) = 0$ Statement - 2 : $f$ is continuous in [2, 5], differentiable in (2, 5) and $f$(2) = $f$(5)

Question

Consider the function, $f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$

Statement - 1 : $f'\left( 4 \right) = 0$

Statement - 2 : $f$ is continuous in [2, 5], differentiable in (2, 5) and $f$(2) = $f$(5)

Statement - 1 is false, statement - 2 is true

Statement - 1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1

Statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1

Statement - 1 is true, statement - 2 is false

Solution

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