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Find the slope of the normal to curve xy...

Find the slope of the normal to curve `xy = 6` at point `(1,6)`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Show that the function given by f(x) = (logx)/x has maximum at x=e

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  2. The two equal sides of an isosceles triangle with fixed base b are dec...

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  3. Find the slope of the normal to curve xy = 6 at point (1,6)

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  4. Show that the normal at any point theta to the curve x = a cos theta +...

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  5. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

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  6. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

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  7. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  8. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  10. A tank with rectangular base and rectangular sides, open at the top is...

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  11. The sum of the perimeter of a circle and square is k, where k is some ...

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

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  13. A point on the hypotenuse of a triangle is at distance a and b from th...

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  14. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  15. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  16. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  17. Find the absolute maximum and minimum values of the function f given b...

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  18. Show that the altitude of the right circular cone of maximum volume th...

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  19. Let f be a function defined on [a, b] such that f'(x)>0 for all x in ...

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  20. Show that the height of the cylinder of maximum volume that can be ins...

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