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Find the intervals in which the following functions are strictly increasing or decreasing: `-2x^3 - 9x^2 - 12x +1`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the intervals in which the following functions are strictly incre...

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  2. Find the intervals in which the following functions are strictly incre...

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  3. Find the intervals in which the following functions are strictly incre...

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  4. Find the intervals in which the following functions are strictly incre...

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  5. Find the intervals in which the following functions are strictly incre...

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  6. Show that y = log(1+x) - 2x/(2+x), x>-1, is an increasing function of...

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  7. Find the values of x for which y = [x(x-2)]^2 is an increasing functio...

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  8. Prove that y = 4sin theta/(2 + cos theta) - theta, is an increasing fu...

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  9. Prove that the logarithmic function is increasing on (0,∞).

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  10. Prove that the function f given by f(x) = x^2-x+1 is neither strictly ...

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  11. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

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

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  13. Find the least value of a such that the function f given by f(X) = x^2...

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  14. Let 1 be any interval disjoint form (-1,1). Prove that the function f(...

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  15. Prove that the function f given by f(x) = log sin x is strictly increa...

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  16. Prove that the function f given by f (x) = log (cos x) is strictly dec...

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  17. Prove that the function given by f(x) = x^3 - 3x^2 + 3x - 100 is incre...

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  18. The interval in which y = x^2 e^-x is increasing is:

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  19. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

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  20. Find the slope of the tangent to the curve y = (x-1)/(x-2) at x = 10.

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