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If x=2costheta-cos2theta"and"y=2sintheta...

If `x=2costheta-cos2theta"and"y=2sintheta-sin2theta" Prove that"` `(dy)/(dx)=tan((3theta)/2)dot`

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If x = 2 cos theta - cos 2theta and y = 2 sin theta - sin 2theta then prove that : (dy)/(dx)=tan (3 theta)/(2)

If x=3costheta-cos^3theta y=3sintheta-sin^3theta find dy/dx

If x=a(1-costheta) , y=a(theta+sintheta) , prove that (d^2y)/(dx^2)=-1/a at theta=pi/2 .

If x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) , prove that (d^2x)/(d theta^2)=a(costheta-thetasintheta) , (d^2y)/(d theta^(2))=a(sintheta+thetacostheta) and (d^2y)/(dx^2)=(s e c^3theta)/(a\ theta)

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Let x = 2sintheta - sin2theta and y = 2costheta - cos2theta find (d^2 y)/(dx^2) at theta= pi

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot

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  2. Find (dy)/(dx), when x=cos^(-1)1/(sqrt(1+t^2))"and"y=sin^(-1)1/(sqrt(1...

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  3. If x=2costheta-cos2theta"and"y=2sintheta-sin2theta" Prove that" (dy)/...

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  4. If x=cost " and " y=sint ,"prove : "(dy)/(dx)=1/(sqrt(3))"at " t=(2pi)...

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  5. Differentiate the following functions with respect to cos(logx)hat2

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  6. Differentiate the following functions with respect to e^(a x)secxta...

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  7. Differentiate the following functions with respect to x : (i)log(c...

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  8. Find (dy)/(dx), y=x^x+x^(1/x)

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  9. Differentiate the following function 3e^(-3x)"log"(1+x)

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  10. Differentiate the following functions with respect to (x^2+2)/(sqrt...

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  11. If y=log{sqrt(x-1)-sqrt(x+1)}, show that (dy)/(dx)=(-1)/(2sqrt(x^2-1))

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  12. Find (dy)/(dx) in each of the following: 4x+3y="log"(4x-3y)

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  13. Find (dy)/(dx) in each of the following: x^(2/3)+y^(2/3)=a^(2/3)

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  14. Find (dy)/(dx) in each of the following: x y=c^2

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  15. Differentiate the following function with respect to x : cos^(-1){(x+...

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  16. Differentiate the following function with respect to x : sin^(-1){(...

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  17. Differentiate the following function with respect to x : t a n^(-1)...

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  18. Differentiate the following function with respect to x : sin^(-1...

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  19. Differentiate the following function with respect to x : tan^-1(...

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  20. Differentiate the following functions with respect to 3^(x^2+2x

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