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Find the equation of the normal to the c...

Find the equation of the normal to the curve
`5x^2+3y^2=23` at (2,-1)

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. For which value of x, the function f(x)=4-x-x^2is maximum or minimum.

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  2. etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...

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  3. Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

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  4. Find the slope of the tangent to the curve y =(logex)^2 at x=1/e

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  5. Find the equation of normal to the curve 3y^2=16x at (3,4).

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  6. Determine the point on the curve y = ln x, at which the tangent will b...

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  7. Find the equation of the tangent to the curve x = y^2-1 at the point w...

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  8. Find approxiamately the difference between the volumes of two cubes of...

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  9. Find the set of value of x where the function f(x) = 2x^3 + 3x^2 - 36x...

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  10. Find the value of.x for which the function f(x) =x^4 — 4x^3 + 4x^2 - 1...

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  11. Find the extreme point of the function f (x) = sinx cosx,x in (pi/8,pi...

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  12. Using differential, find approximately the difference between the volu...

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  13. Show that the semivertical angle of a cone of given slant height is ta...

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  14. Show that the radius of the right cicular cylinder of greatest curved ...

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  15. A cylindrical open water tank with a circular base is to be made out o...

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  16. Show that the semi-vertical angle of the cone of the maximum volume an...

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  17. Show that the height of a closed right circular cylinder of given surf...

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  18. Shows that the triangle of greatest area that can be inscribed in a ci...

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  19. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  20. Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from...

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