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If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then...

If `x=(2t)/(1+t^2)`,`y=(1-t^2)/(1+t^2)`,`then `find`(dy)/(dx)`.

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

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  2. Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then...

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  3. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then find(dy)/(dx).

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  4. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

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  5. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

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  6. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  7. Differentiate tan^(-1)x/(1+sqrt((1-x^2))) +{2tan^(-1)sqrt(((1-x)/(1+x...

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  8. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

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  9. Differentiate (logx)^(cosx) with respect to xdot

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  10. Find the differential equation of the family of curves y=A e^(2x)+B...

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  11. If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

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  12. If x=cos e ctheta-sintheta and y=cosec^ntheta-sin^ntheta, then show th...

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  13. If y=sqrt(log{sin((x^2)/3-1)}), t h e n find (dy)/(dx)dot

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  14. Find (dy)/(dx) of y= x^3

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  15. Find (dy)/(dx) for y=sin(x^2+1)dot

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  16. Let f(x)=x+1/(2x+1/(2x+1/(2x))) Compute the value of f(5) .

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  17. y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy/dx .

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  18. Find y' of y= 5x^5

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  19. y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)). find dy/dx.

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  20. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/((1+yprime^2)^3...

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