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Find the intervals in which the function...

Find the intervals in which the function f given by f(x) = `2x^(3) – 3x^(2) – 36x + 7 `is
(a) increasing (b) decreasing

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The correct Answer is:
(a) `(oo,-2) "and" (3,oo)` (b) (-2,3)
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NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.2
  1. Show that the function given by f (x) = sin x is (a) increasing in (...

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the least value of a such that the function f given by f(x) = x^(...

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

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

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  19. Prove that the function f given by f (x) = log cos x is decreasing on ...

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  20. Prove that the function given by f(x) = x^(3) – 3x^(2) + 3x – 100 is i...

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