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If x=2a t , y=a t^2 , where a is a const...

If `x=2a t` , `y=a t^2` , where `a` is a constant, then find `(d^2y)/(dx^2)` at `x=1/2`

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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
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  2. If x=t^2 and y=t^3 , find (d^2y)/(dx^2) .

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  3. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

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  4. If x=f(t) and y=g(t) , then write the value of (d^2y)/(dx^2) .

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  5. If y=1-x+(x^2)/(2!)-(x^3)/(3!)+(x^4)/(4!)dotto\ oo , then write (d^2y)...

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  6. If y=x+e^x , find (d^2x)/(dy^2) .

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  7. If y=(x-x^2) , then find (d^2y)/(dx^2) .

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  8. If y=log x , find (d^2y)/(dx^2) .

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

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

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

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

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

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

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

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

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

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

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