Multiple Choice Questions on What is f 39 39 2 5 equal to ........ for NDA Exam Preparation

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Multiple Choice Questions

What is f 39 39 2 5 equal to ........

Mathematics (NDA) Relations and Functions
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    Directions (1-2) Consider the function f(x) = | x2 −5 x + 6 |

    What is f '' (2.5) equal to?

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    Explanation:

    Given, f (x) =|x2 −5x + 6 |
    At x = 2.5,
    f (x) = − (x − 2)(x − 3) = − (x2 −5x + 6)
    On differentiating both sides w.r.t. x, twicely, we get
    f '(x) = − (2x − 5)
    f ''(x) = − 2
    =>  f ''(2.5) = −2

    By: Munesh Kumari
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