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

Question

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

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/548209404a074607ce3b21f5e73ac30f-.png" /> point of discontinuity in (0,2 π)=2 so point of discontinuity in (0,2 n π)=2 n (continuous)

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

point of discontinuity in $(0, 2 π) = 2$
so point of discontinuity in $(0, 2 nπ) = 2 n$ (continuous)

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

point of discontinuity in (0,2π)=2 so point of discontinuity in (0,2nπ)=2n (continuous)

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

point of discontinuity in $(0, 2 π) = 2$
so point of discontinuity in $(0, 2 nπ) = 2 n$ (continuous)