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Show that the function given by f (x) = ...

Show that the function given by f (x) = sin x is
(a) increasing in `(0,(pi)/(2))` (b) decreasing in `((pi)/(2) ,pi)`
(c) neither increasing nor decreasing in (0, `pi `)

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NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.2
  1. Show that the function given by f (x) = 3x + 17 is increasing on R.

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  2. Show that the function given by f (x) = e ^(2x) is increasing on R.

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  3. Show that the function given by f (x) = sin x is (a) increasing in (...

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  4. Find the intervals in which the function f given by f(x) = 2x^(2) – 3x...

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  5. Find the intervals in which the function f given by f(x) = 2x^(3) – 3x...

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  6. Find the intervals in which the functions are strictly increasing or ...

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  7. Find the intervals in which the functions are strictly increasing or ...

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  8. Find the intervals in which the functions are strictly increasing or ...

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  9. Find the intervals in which the functions are strictly increasing or ...

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  10. Find the intervals in which the functions are strictly increasing or ...

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  11. Show that y= log (1+x) -(2x)/(2+x) , x gt -1 is an increasing functio...

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  12. Find the values of x for which y = [x(x – 2)]^(2) is an increasing fu...

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  13. Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing funct...

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  14. Prove that the logarithmic function is increasing on (0, oo).

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  15. Prove that the function f given by f(x) = x ^(2) – x + 1 is neither st...

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  16. Which of the following functions are decreasing on 0,(pi)/(2) ?

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  17. On which of the following intervals is the function f given by f(x) = ...

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  18. For what values of a the function f given by f(x) = x^(2) + ax + 1 is ...

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  19. Let I be any interval disjoint from [–1, 1]. Prove that the function f...

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  20. Prove that the function f given by f(x) = log sin x is increasing on (...

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