Let S be the set of all points in (–π, π) at which the function, f (x) = min. {sin x, cos x} is not differentiable. Then S is a subset of which of the following?

Engineering

Mathematics

Important Points on Derivability

Question

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

${\frac{- π}{4}, 0, \frac{π}{4}}$

${\frac{- 3 π}{4}, \frac{- π}{2}, \frac{π}{2}, \frac{3 π}{4}}$

${\frac{- π}{2}, \frac{- π}{4}, \frac{π}{4}, \frac{π}{2}}$

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$∴ x = {- \frac{3 π}{4}, \frac{π}{4}}$