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(B) The function $f(x) = \min\{\sin x, \cos x\}$ is non-differentiable at points where the graphs of $y = \sin x$ and $y = \cos x$ intersect.Setting $

Vedclass · Accepted Answer

$\{ -\frac{3\pi}{4}, -\frac{\pi}{4}, \frac{3\pi}{4}, \frac{\pi}{4} \}$

Vedclass · Answer

(B) The function $f(x) = \min\{\sin x, \cos x\}$ is non-differentiable at points where the graphs of $y = \sin x$ and $y = \cos x$ intersect.Setting $\sin x = \cos x$,we get $	an x = 1$.In the interval $(-\pi, \pi)$,the solutions are $x = \frac{\pi}{4}$ and $x = -\frac{3\pi}{4}$.At these points,the function has sharp corners,making it non-differentiable.Thus,$S = \{ -\frac{3\pi}{4}, \frac{\pi}{4} \}$.Comparing this with the given options,$S$ is a subset of $\{ -\frac{3\pi}{4}, -\frac{\pi}{4}, \frac{3\pi}{4}, \frac{\pi}{4} \}$.

Let $S$ be the set of all points in $(-\pi, \pi)$ at which the function $f(x) = \min\{\sin x, \cos x\}$ is non-differentiable. Then $S$ is a subset of which of the following?

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