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    Continuity And Differentiability - Practice Questions & MCQ

    Updated on Sep 18, 2023 18:34 AM

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    $f(x)=\sin ^{-1} x+\cos ^{-1} x$ is differentiable in:

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    Concepts Covered - 1

    Differentiability in an Interval and Theorems of Differentiability

    Differentiability in an Interval

    A) A function $f(x)$ is differentiable in an open interval $(a, b)$ if it is differentiable at every point on the open interval $(a, b)$.
    B) A function $y=f(x)$ is said to be differentiable in the closed interval [a, b].
    1. If $f(x)$ is differentiable at every point on the open interval $(a, b)$. And,
    2. It is differentiable from the right at "a" and the left at "b". is said to be differentiable in [a, b].

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    Differentiability in an Interval and Theorems of Differentiability

    Study other Related Concepts

    Continuity And Differentiability Current Topic

    Limit
    Left-Hand Limits and Right-Hand Limits
    Algebra of Limits
    Limit of Indeterminate Form and Algebraic limit
    Limit of Algebraic function
    Limit Using Expansion
    Sandwich Theorem
    Limits of Trigonometric Functions
    Exponential and Logarithmic Limits
    Limits of the form (1 power infinity)

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    Books

    Reference Books

    Differentiability in an Interval and Theorems of Differentiability

    Mathematics for Joint Entrance Examination JEE (Advanced) : Calculus

    Page No. : 4.18

    Line : 32

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