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if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2...

if `x^2+y^2 = t - 1/t` and` x^4 + y^4 = t^2 + 1/t^2 `then prove that `dy/dx = x^3y

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
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  2. If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2...

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  3. if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...

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  5. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  6. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  7. Differentiate the functions with respect to x : tan^(-1){(sqrt(1+a^2x...

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  8. Differentiate the functions with respect to x : cos^(-1){(cosx+sinx...

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  9. If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0, prove t...

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

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  12. If y = cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), -1/2ltxlt0 , find (dy)/(dx...

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  13. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

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  14. If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a , prove that (dy)/(dx)=y/xd...

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  15. Differentiate cos^(-1)(2x^2-1) with respect to x , if 0<x<1 (ii) -1<x...

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  16. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if -1/(sqrt(3))<x<1/(sqrt(...

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  17. Differentiate each of the following functions with respect to x : (...

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

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  19. Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(...

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  20. Differentiate sin^(-1)(3x-4x^3) with respect to x , if (i)-1/2ltxlt...

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