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Show that the function f(x)=x^3-6x^2+1...

Show that the function
`f(x)=x^3-6x^2+15x+4` is strictly increasing in R.

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Find two positive numbers such that their sum is 8 and the sum of thei...

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  2. The slope of the tangent to the curve y=x^3-1 at x=2 is………

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  3. Use differentiation to approximate sqrt36.6.

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  4. Find two numbers whose sum is 24 and whose product as large as possibl...

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  5. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

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  6. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

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  7. Find the slope of the normal to the curve y=sintheta at theta=pi/4

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  8. Show that the function f(x)=x^3-6x^2+15x+4 is strictly increasing in...

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  9. Show that all rectangles with a given perimeter, the square has the ma...

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  10. A right circular cylinder is inscribed in a given cone of radius R cm ...

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  11. A right circular cylinder is inscribed in a given cone of radius R cm ...

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  12. Which of the following function is increasing for all values of x in i...

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  13. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  14. Find the maximum profit that a company can make, if the profit functio...

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  15. Find the slope of the tangent to the parabola y^2=4ax at (at^2,2at).

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  16. Find the intervals in which the function x^2-2x+5 is strictly increasi...

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  17. A spherical bubble is decreasing in volume at the rate of 2cm^3//sec. ...

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  18. Which of the following function is always increasing? a)x+sin2x b)x-s...

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  19. The radius of a cylinder is increasing at a rate of 1 cm//s and its he...

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  20. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

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