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Show that for f(x) = x+1/x the local max...

Show that for `f(x)` = `x+1/x` the local maximum is less than local minimum.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
  1. Find the equation of normal to the circle x^2+y^2 = 5 at (2,1).

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  2. Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...

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  3. Show that for f(x) = x+1/x the local maximum is less than local minimu...

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  4. Find the points on the curve 9y^2 = x^3 where the normal to the curve ...

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  5. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

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  6. Find the equation of the tangent and normal to [x/a]^(1/3)+[y/b]^(1/3)...

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  7. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

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  8. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  9. Find the extreme values of y = cos x(1+sin x), x in [0,2pi]

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  10. Find the equation of normal to the curve x^3 =4y which passes through ...

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  11. Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc.

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  12. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  13. Find the intervals where the following functions are (a) increasing an...

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  14. Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):...

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  15. Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...

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  16. Show that the tangent to the curve y=x^2+3x-2 at (1,2) is parallel to ...

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  17. Find the altitude of a right circular cylinder of maximum volume inscr...

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  18. Show that y=mx+c is a tangent to the ellipse x^2/a^2+y^2/b^2=1 if c^2=...

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  19. A square piece of tin of side 18 cm is to be made into a box without t...

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  20. Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3)is ...

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