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Find the values of x such that f(x)=x^(3...

Find the values of x such that `f(x)=x^(3)+12x^(2)+36x+6` is an increasing function.

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The correct Answer is:
`x lt -6" or "x gt -2`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
  1. Test whether the following funtions are increasing or decreasing : f...

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  2. Test whether the following funtions are increasing or decreasing : f...

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  3. Find the values of x such that f(x)=x^(3)+12x^(2)+36x+6 is an increasi...

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  4. Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasin...

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  5. Find the values of x if f(x)=(x)/(x^(2)+1) is an increasing function

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  6. Find the values of x if f(x)=(x)/(x^(2)+1) is a decreasing function.

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  7. Examine the following functions for maxima and minima : f(x)=2x^(3)-...

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  8. Examine the following functions for maxima and minima : f(x)=x^(2)+(...

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  9. Examine the following functions for maxima and minima : f(x)=3x^(3)-...

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  10. Examine the following functions for maxima and minima : f(x)=x^(2)e^...

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  11. Examine the following functions for maxima and minima : Show that f(...

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  12. Examine the following functions for maxima and minima : Find the max...

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  13. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

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  15. If x+y=8, then show that the maximum value of x^(2)y is (2048)/(27).

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  16. A manufacturer can sell x items at the price of Rs. (330-x) each. The ...

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  17. Find the position of the point P on seg AB of length 8 cm, so that "AP...

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  18. Determine the points on the curve x^2=4y which are nearest to th...

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  19. The combined resistance R of two resistors R(1) and R(2) " where " R(1...

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