The function f x = tan ⁡ x + 1 x , ∀ x ∈ 0 , π 2 has

Question

The function f x = tan ⁡ x + 1 x , ∀ x ∈ 0 , π 2 has, one local maximum, one local minimum, one local maximum and one minimum, no local maximum or minimum

MARKS App · Accepted Answer

d y d x = sec 2 ⁡ x – 1 x 2 = x - cos ⁡ x x + cos ⁡ x cos 2 ⁡ x . x 2 Hence, at α sign of d y d x changes from negative to positive i.e., y = f x has a local minimum

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