The number of points of non-differentiability of the function f(x) = [4 + 13sinx] in (0, 2π) is ____.
The number of points of non-differentiability of the function f(x) = [4 + 13sinx] in (0, 2π) is ____.
Solution and Explanation
The correct answer is : 50
Number of points of non-differentiability for 4+[13 sinx] is 4\(\times\)12+2=50 (by graph)
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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 β(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.