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The function f(x) = tanx – x ______. - Mathematics

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प्रश्न

The function f(x) = tanx – x ______.

पर्याय

  • Always increases

  • Always decreases

  • Never increases

  • Sometimes increases and sometimes decreases

MCQ
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उत्तर

The function f(x) = tanx – x always increases.

Explanation:

Here, f(x) = tan x – x

So, f'(x) = sec2x – 1

f'(x) > 0 ∀ x ∈ R

So f(x) is always increasing.

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पाठ 6: Application Of Derivatives - Exercise [पृष्ठ १४०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 6 Application Of Derivatives
Exercise | Q 51 | पृष्ठ १४०

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