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

Show that the function f given by
`f(x) = x^(3)-3x^(2)+4x,x in` R is increasing on R.

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AAKASH SERIES-MAXIMA & MINIMA-ADDITIONAL EXERCISE
  1. Give an example of a trigonometric function which is Strictly increa...

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  2. Prove that the function log sin x is strictly increasing (0,pi/2) and ...

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  3. Show that the function f given by f(x) = x^(3)-3x^(2)+4x,x in R is i...

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

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

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  8. If f(x)=x^3+ax^2+bx+5sin^2x increase for all x in R show that a^2-3b+1...

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  9. Show that x^(1//x) is increasing in (0,e) and decreasing in (e,oo). He...

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  10. Find the maximum and minimum values, if any, of the functions given by...

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  11. Find the maximum and minimum values, if any, of the functions given by...

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  12. Find the maximum and minimum values, if any, of the functions given by...

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  13. Find the points of local maximum or local minimum for the following ...

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  14. Find the points of local maximum or local minimum for the following ...

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  15. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

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  16. If y = a log|x| + bx^(2) + x has extreme values at x = 2 and x = -4/3 ...

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  17. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

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  18. A cubic function of x ahs maximum 10 and minimum -5//2, when x=-3 and ...

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  19. Find the triangle of the greatest area among the right triangles of a ...

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  20. Find the greatest rectangle that can be inscribed in x^2/a^2+y^2/b^2=1

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