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If x=a t^2,\ \ y=2\ a t , then find (dy)...

If `x=a t^2,\ \ y=2\ a t` , then find `(dy)/(dx)`

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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If y=log x , find (d^2y)/(dx^2) .

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  2. If x=acosn t-bsinn t , then find (dx)/(dt)

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  3. If x=a t^2,\ \ y=2\ a t , then find (dy)/(dx)

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  4. If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...

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  5. (d^(20))/(dx^(20))(2cosxcos3x)= 2^(20)(cos2x-2^(20)cos4x) (b) 2^(20)(...

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  6. If x=t^2,\ \ y=t^3 , then (dy)/(dx)

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  7. If y=a+b x^2,\ a ,\ b arbitrary constants, then find dy/dx

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  8. If f(x)=(cosx+isinx)(cos2x+isin2x)(cos3x+isin3x)ddot(cosn x+isinn x) a...

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  9. If y=asinm x+bcosm x , then find dy/dx

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  10. If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= (a)1 (...

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  11. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

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  12. Let f(x) be a polynomial. Then, the second order derivative of f(e^...

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  13. If y=acos((log x)+bsin((log x) , then find dy/dx

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  14. If x=2 and y=a t^2 ,then find dy/dx

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  15. If x=f(t) and y=g(t) , then find (dy)/(dx)

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  16. If y=sin(m\ sin^(-1)x) , then (1-x^2)y2-x y1 is equal to m^2y (b) m y ...

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  17. If y=(sin^(-1)x)^2,\ then (1-x^2)y2 is equal to x y1+2 (b) x y1-2 (c)...

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  18. If y=e^(tanx) , then (cos^2x)y2-(1+sin2x)y1=0

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  19. If y=2/(sqrt(a^2-b^2)){tan^(-1)sqrt((a-b)/(a+b))tan(x/2)} , then show ...

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  20. If y=(a x+b)/(x^2+c), prove that (2x y1+y)y3=3(x y2+y1)y2.

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