At how many points between the interval (-∞, ∞) is the function f(x)=sin x is not differentiable

Question

At how many points between the interval (-∞, ∞) is the function f(x)=sin x is not differentiable.

MARKS Content Team · Accepted Answer

Correct answer: (A) 0. The function f(x)=sin x is differentiable for all x ∈ R . Therefore the number of points in the interval (-∞, ∞) where the function is not differentiable are zero.

At how many points between the interval $(-\infty, \infty)$ is the function $f(x)=\sin x$ is not differentiable.

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