simple differentiation question (1 Viewer)

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Differeniate tan^-1(x^2)

note: tan^-1 is inverse of tan

thanks

 

[Riviet]

d/dx(tan^-1x²)=2x/(1+x⁴), insert-username nicely shows it for you.

 

[insert-username]

You use the chain rule.

dy/dx = du/dx. dy/du

Let u = x²

So du/dx = 2x

And dy/du = 1/(1+u²)

So dy/dx = 2x . 1/(1+x⁴) (since u = x²)

= 2x/(1+x⁴)


I_F

 

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This is actually from a uni maths quiz question that I am doing online. I wasn't sure about the answer, I always forget how to do these silly maths differentiation. Anyway, thanks guys