Q.
At how many points between the interval (−∞,∞) is the function f(x)=sinx is not differentiable.
1999
181
Continuity and Differentiability
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Solution:
The function f(x)=sinx is differentiable for all x∈R. Therefore the number of points in the interval (∞,∞) where the function is not differentiable are zero.