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17. Increasing and Decreasing Functions
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Q25 of 105 Page 17

Determine whether f(x) = x/2 + sin x is increasing or decreasing on (–π /3, π/3) ?

we have,



Now,









Hence, f(x) is an increasing function on (–π /3, π /3)


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23

Show that f(x) = sin x – cos x is an increasing function on (–π /4, π /4)?

24

Show that f(x) = tan–1 x – x is a decreasing function on R ?

26

Find the interval in which is increasing or decreasing ?

27

Find the intervals in which f(x) = (x + 2)e–x is increasing or decreasing ?

Questions · 105
17. Increasing and Decreasing Functions
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