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Find dy/dx if x=a(cost+logtan(t//2)) an...

Find `dy/dx` if `x=a(cost+logtan(t//2))` and `y=a sin t`

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find dy/dx if x=costheta-cos2theta and y=sintheta-sin2theta

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  2. Find dy/dx if x=a(theta-sintheta) andy=a(1+costheta)

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  3. Find dy/dx if x=a(cost+logtan(t//2)) and y=a sin t

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  4. Find dy/dx,x=asectheta,y=btantheta

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  5. Find dy/dx of x=a(costheta+thetasintheta) , y=a(sintheta-thetacosthe...

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  6. If x=sqrt(a^(sin^-1 t),y=sqrt(a^(cos^-1 t) Show that dy/dx=(-y)/x

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  7. Find second order derivative for y=3x^4+4x^2-x+1

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  8. Find second order derivative for y= xsinx

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

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

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

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

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

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

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

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

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

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

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

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

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