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Differentiate sin^(-1)((2x)/(1+x^2)) ...

Differentiate `sin^(-1)((2x)/(1+x^2))` with respect to `tan^(-1)((2x)/(1-x^2)),` if `-1

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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
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  2. Differentiate tan^(-1)((cosx)/(1+sinx)) with respect to sec^(-1)...

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

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  4. Differentiate cos^(-1)(4x^3-3x) with respect to tan^(-1)((sqrt(1-x^2))...

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

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  6. Differentiate sin^(-1)sqrt(1-x^2) with respect to cot^(-1)(x/(sqrt(1-x...

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

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

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  9. If f(x)=|x+a^2a b a c a b x+b^2b c a bb c x+c^2|,fin df^(prime)(x)dot

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

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

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  12. If f,g,a n dh are differentiable functions of xa n d(x)=|fgh(xf)'(x...

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  13. If y =| [f(x) , g(x) , h(x)], [l , m , n], [a , b , c] | , prove tha...

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

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

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

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

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  18. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2) , then find (dy)/(dx) at x=1...

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  19. Let g(x) be the inverse of an invertible function f(x) which is deri...

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  20. If y=sin^(-1)(sinx) , -pi/2llexlepi/2 . Then, write the value of (dy...

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