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If sqrty+1/sqrty=2x, show that (x^2-1)y2...

If `sqrty+1/sqrty=2x`, show that `(x^2-1)y_2+xy_1-4y=0`

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find (d^2y)/dx^2 if: x^3+y^3-3axy=0

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  2. If xsqrt(1-y^2)+ysqrt(1-x^2)=0, find the value of (d^2y)/dx^2 when y=1

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  3. If sqrty+1/sqrty=2x, show that (x^2-1)y2+xy1-4y=0

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  4. Without using derivative, find the maximum value and the minimum value...

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  5. Without using derivative, find the maximum value and the minimum value...

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  6. Without using derivative, find the maximum value and the minimum value...

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  7. Find the local maximum, the local minimum values, if any, using first ...

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  8. Find the local maximum, the local minimum values, if any, using first ...

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  9. Find the values of x, if any, for which f(x) has local maximum and loc...

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  10. Find the values of x, if any, for which f(x) has local maximum and loc...

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  11. Find the values of x, if any, for which f(x) has local maximum and loc...

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  12. Find the values of x, if any, for which f(x) has local maximum and loc...

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  13. Find the local maximum, local minimum, absolute maximum and absolute m...

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  14. Find the local maximum, local minimum, absolute maximum and absolute m...

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  15. Show that f(x)=3x-x^3 has a local maximum at x=1.

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  16. Show that f(x)=x^2+(250)/x has a local minimum at x=5.

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  17. Show that f(x)=1+x+x^2+x^3 has no local extremum.

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  18. Show that f(x)=x^3-3x^2+15x+2 has no local extremum.

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  19. Find the extreme values of the function y=2x^3-9x^2+12x+5

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  20. Find the maximum and minimum values of the function y=4x^3-3x^2-6x+1

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