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If x^m y^n=(x+y)^(m+n),p rov et h a t(dy...

If `x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

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  2. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

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  3. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

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  4. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

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  5. If x=acos^3theta,y=a sin^3theta,then find the value of d2y/dx2 at θ=π/...

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  6. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t...

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  7. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

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  8. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

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

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

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

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

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

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

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

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

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

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

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

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