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Ex 6.2, 12 - Which functions are strictly decreasing on - Ex 6.2


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Ex 6.2, 12 Which of the following functions are strictly decreasing on (0 ,πœ‹/2)? (A) cos π‘₯f(π‘₯) = cos π‘₯ f’(𝒙) = – sin 𝒙 Since, sin π‘₯ > 0 for π‘₯ ∈ (0 , πœ‹/2) So, –sin 𝒙 < 0 for π‘₯ ∈ (0 , πœ‹/2) ∴ f’(π‘₯) < 0 for π‘₯ ∈ (0 , πœ‹/2) So, f is strictly decreasing in (0 , πœ‹/2)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.