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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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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
  1. Use differentials to approximate sqrt(49.7)

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the point on the curve y=x^(3)-2x^(2)-2x at which the tangent lin...

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  15. Find the equation of the tangent line to the curve x^2 + 3y =2 which i...

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  16. Find the point on the curve x^2 = 4y which is nearest to the point (-1...

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  17. Find the interval in which the function f(x)=10-6x-2x^(2) is strictly ...

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  18. Find a point on the curve y = (x - 2)^2 at which the tangent is parall...

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  19. Find points at which the tangent to the curve y = x^3-3x^2-9x+7 is par...

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  20. Use differentials to find the approximate values of the following (8...

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