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Differentiate tan^-1""((2x)/(1-x^2)) wi...

Differentiate `tan^-1""((2x)/(1-x^2))` with respect to `cos ^-1 ((1-x^2)/(1+x^2))`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate tan^(-1)((1+a x)/(1-a x)) with respect to sqrt(1+a...

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  2. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to tan^(-1)(x/(sqrt...

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  3. Differentiate tan^-1""((2x)/(1-x^2)) with respect to cos ^-1 ((1-x^2)...

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  4. Differentiate tan^(-1)((x-1)/(x+1)) with respect to sin^(-1)(3x-4x...

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  5. Find dy/dx if y=(cosx)/(1+sinx)

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  6. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)...

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  7. Differentiate cos^(-1)(4x^3-3x) with respect to x' .

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  8. Differentiate sin^(-1)(2xsqrt(1-x^2)),

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  9. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x , if x∈ [-...

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  10. Differentiate sin^(-1)(2a xsqrt(1-a^2x^2)) with respect to sqrt(1-a^2x...

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  11. Differentiate tan^(-1)((1-x)/(1+x)) with respect to sqrt(1-x^2) , if -...

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  12. If f(x)=|[x+a^2 , a b , a c],[a b, x+b^2,b c],[ ac,b c, x+c^2]|. then ...

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

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  14. If f(x),g(x)a n dh(x) are three polynomials of degree 2, then prove th...

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  15. If f,g, and h are differentiable functions of x and "delta"=|[f,g,h...

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  16. If y=|f(x)g(x)h(x)l m n a b c| , prove that (dy)/(dx)=|f^(prime)(x)g^(...

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  17. If f(x)=(log)e((log)e x) , then write the value of f^(prime)(e) .

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  18. If f(x)=x+1 , then write the value of d/(dx)(fof)(x) .

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  19. If f^(prime)(1)=2 and y=f((log)e x) , find (dy)/(dx) at x=e .

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  20. If f(1)=4 , f^(prime)(1)=2 , find the value of the derivative of lo...

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