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Find the intervals in which the followin...

Find the intervals in which the following are strictly increasing and strictly decreasing
`f(x)=2x^(3)-9x^(2)+12x+30`

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The correct Answer is:
`(-oo,1)uu(2,oo),(1,2)`
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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
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  3. Find the intervals in which the following are strictly increasing and ...

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  5. A window is in the form of a rectangle surmounted by a semi-circular o...

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  6. Find the slope of the tangent to the curve y = x^3-x^2+1 at the point ...

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  7. Using differentials, find the approximate value of sqrt 36.5.

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  8. Use differentials to approximate sqrt(49.7)

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  9. Using differentials, find the approximate value of sqrt 25.5.

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

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  11. Prove that f(x)="log""cos"x is strictly decreasing on (0,pi/(2)) and s...

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  12. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

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  13. The length x of a rectangle is decreasing at the rate of 2 cm. per min...

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  14. The length x of a rectangle is decreasing at the rate of 2 cm. per min...

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  15. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  16. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  17. Find the intervals in which the function f(x)=6+12x+3x^(2)-2x^(3) is s...

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  18. Find the points on the curve y=x^(3) at which slope of tangent is equa...

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  19. Show that the right circular cylinder of given surface and maximum vol...

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  20. Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...

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