If f(x) = [a+13 sinx] & x ε (0, \(\pi\)), then number of non-differentiable points of f(x) are [where 'a' is integer]
If f(x) = [a+13 sinx] & x ε (0, \(\pi\)), then number of non-differentiable points of f(x) are [where 'a' is integer]
Correct Answer: 25
Solution and Explanation
⇒ 24 points
and also where the sin x = 1 ⇒ 1 points.
Therefore, 25 points of non-derivability
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Concepts Used:
Continuity & Differentiability
Definition of Differentiability
f(x) is said to be differentiable at the point x = a, if the derivative f ‘(a) be at every point in its domain. It is given by
Definition of Continuity
Mathematically, a function is said to be continuous at a point x = a, if
It is implicit that if the left-hand limit (L.H.L), right-hand limit (R.H.L), and the value of the function at x=a exist and these parameters are equal to each other, then the function f is said to be continuous at x=a.
If the function is unspecified or does not exist, then we say that the function is discontinuous.