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Find second order derivative for y=(logx...

Find second order derivative for `y=(logx)/x`

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find second order derivative for y= xsinx

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  2. Find second order derivative for f(x)=cos2x

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  3. Find second order derivative for y=(logx)/x

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  4. Find second order derivative for x=ct and y=c/t

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  5. Find (d^2y)/dx^2, if y=x^3+tanx

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  6. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

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  7. If y=3e^(2x)+2e^(3x), prove that (d^2y)/(dx^2)-5dy/dx+6y=0

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  8. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

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  9. Find the second order derivative of the following functions x^2+3x+2

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  10. Find the second order derivative of the following functions x^20

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  11. Find the second order derivative of the following functions xcosx

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  12. Find the second order derivative of the following functions logx

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  13. Find the second order derivative of the following functions x^3logx

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  14. Find the second order derivative of the following functions e^xsin5x

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  15. Find the second order derivative of the following functions e^(6x)cos3...

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  16. Find the second order derivative of the following functions tan^(-1)x

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  17. Find the second order derivative of the following functions log(logx)

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  18. Find the second order derivative of the following functions sin(logx)

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  19. If y=5cosx-3sinx, prove that (d^2y)/(dx^2)+y=0

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  20. If y=cos^-1x, find (d^2y)/(dx^2) in terms of y alone.

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