Trigonometry Problem:Proving

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Trigonometry Problem:Proving

Postby JiaGengMaths on Sat Apr 19, 2014 3:41 pm

Hello PurpleMath people!

Here's the question I once again need help with:

If y = [1+tan^(-1)x]^2

prove that:

(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

Thank you pros for helping! :D :D :D
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Postby stapel_eliz on Sat Apr 19, 2014 10:37 pm

JiaGengMaths wrote:If y = [1+tan^(-1)x]^2, prove that:
(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

What did you get when you took the first derivative? Or did you post this to "Trigonometry" rather than to "Calculus" because you haven't taken calculus yet?
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