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Find the derivative of the functions giv...

Find the derivative of the functions given by `f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8)` and hence find `f'(1)`

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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find (dy/dx) of the function (cos x)^y=(cos y)^x

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  2. Find (dy/dx) of the function x y=e^(x-y)

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  3. Find the derivative of the functions given by f(x)=(1+x)(1+x^2)(1+x^4)...

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  4. Differentiate (x^2-5x+8)(x^3+7x+9)by using product rule

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  5. Find (dy/dx), if x=a cos theta, y=a sin theta

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  6. Find (dy/dx), if x=a t^2, y=2 a t

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  7. Find dy/dx if x=a(theta-sintheta) , y=a(1-costheta)

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  8. If x and y are connected parametrically by the equation without elimin...

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  9. If x and y are connected parametrically by the equation without elimin...

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  10. Find (dy)/(dx),x=sint,y=cos2t

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  11. Find dy/dx,x=4t,y=4/t

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  12. If x and y are connected parametrically by the equation without elimin...

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  13. If x and y are connected parametrically by the equation without elimin...

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  14. If x and y are connected parametrically by the equation without elimin...

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  15. If x and y are connected parametrically by the equation without elimin...

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  16. If x and y are connected parametrically by the equation without elimin...

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  17. If x and y are connected parametrically by the equation without elimin...

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  18. If x=a^(sin^(-1)t) , y=a^(cos^(-1)t) , a>0 , show that dy/dx=-y/x

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

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  20. If y=Asinx+Bcosx, then prove that (d^2y)/(dx^2)+y=0

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