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Continuity And Differentiability - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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42 Questions around this concept.
Solve by difficulty
EASY$f(x)=\sin ^{-1} x+\cos ^{-1} x$ is differentiable in:
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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