# A question on AOD math too confusing...

Out of the functions cosx - sinx , cosx + sinx , sinx/x , x/sinx the function which is increasing in (0,pi/2) is :-

(a) $cosx-sinx$

(b) $cosx+sinx$

(c) $sinx/x$

(d) $x/sinx$

Please post the solution in detail....

Note by Parag Zode
3 years, 10 months ago

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Differentiate each function if it is possitive then you can say it is increasing if negative then decreasing

In the first function after dif.

$$-sinx$$ $$-cosx$$

Which is always decreasing in (0,$$\pi/2$$)

Similarly 2nd function is decreasing only in (0,$$\pi/4$$)

3rd also decreasing in the domain

Answer is the last function which is increasing in its domain

- 3 years, 10 months ago