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Prove that: y = (4 sin theta)/(2 +cos th...

Prove that: `y = (4 sin theta)/(2 +cos theta)- theta` is an increasing function in [0,pi/2]`

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
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  2. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

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  3. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

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

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  5. Find the.equations of tangent and normal to the curves x = a sin^3thet...

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  6. Find the points on curve y = x^3- 11x + 5 at which equation of the tan...

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  8. Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

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  9. Find the equation of thetangent to the curve y=x^4 -6x^3 + 13x^2-10x +...

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  11. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

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  12. The sum of two numbers is 24. Find the numbers, so that their product ...

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  13. Find two positive numbers whose product is 256 and whose sum is least.

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  14. Show that all the rectangles with a given perimeter, the square has th...

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  15. Find the intervals where function is increasing function y = cos x + s...

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  16. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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