Show that function f(x) = tan x is increasing in `(0, π/2)`.

Given, f(x) = tan x f'(x) = sec2x But sec2x > 0, ∀x∈ (0, π/2) Hence f(x) = tan x is strictly increasing in (0, π/2).

Show that function f(x) = tan x is increasing in π(0,π2). - Mathematics and Statistics

प्रश्न

Show that function f(x) = tan x is increasing in $(0, \frac{π}{2})$ .

बेरीज

उत्तर

Given, f(x) = tan x

f'(x) = sec²x

But sec²x > 0, ∀x∈ (0, π/2)

Hence f(x) = tan x is strictly increasing in (0, π/2).

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Increasing and Decreasing Functions

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Q 12 Q 11 Q 13

2021-2022 (March) Set 1

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2021-2022 (March) Set 1 (with solutions)

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Show that function f(x) = tan x is increasing in π(0,π2). - Mathematics and Statistics

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