Multiple Choice Questions on Suppose the function f x xn n ne 0 is differentiable for all x Then n can be any element of the inte........... for NDA Exam Preparation

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Multiple Choice Questions

Suppose the function f x xn n ne 0 is differentiable for all x Then n can be any element of the inte...........

Mathematics (NDA) Relations and Functions
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    Suppose the function f(x)=xn,n≠0 is differentiable for all x. Then n can be any element of the interval

    [1,∞)

    Correct Answer

    (0,∞)

    Incorrect Answer

    (1/2,∞)

    Incorrect Answer

    None of the above

    Incorrect Answer
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    Explanation:
    f(x)=xn,n≠0
    ⇒f′(x)=nxn−1
    ,f(x) to be differentiable,n−1≥0⇒n≥1
    ⇒n \in [1,∞]

    By: Munesh Kumari
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