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  4. Find number of non differentiable point for f(x)= min ( sin x, cos x) is (if x ∈(0,4 π)).

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Q. Find number of non differentiable point for $f(x)=\min (\sin x, \cos x)$ is (if $x \in(0,4 \pi))$.

Continuity and Differentiability

Solution:

image
point of discontinuity in $(0,2 \pi)=2$
so point of discontinuity in $(0,2 n \pi)=2 n$ (continuous)