y= arctan x

y= πx^4

Can anyone show me how to find the 2 points that it intersects by hand (calculations)? I tried it by doing arctan x = πx^4 but got confused.

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- May 7th 2008, 03:42 PMRuiIntercepts of two graphs
y= arctan x

y= πx^4

Can anyone show me how to find the 2 points that it intersects by hand (calculations)? I tried it by doing arctan x = πx^4 but got confused.

- May 7th 2008, 04:36 PMtopsquark
- May 7th 2008, 04:53 PMicemanfan
Though you can't find this point exactly, you can at least put some bounds on it, if you want to play around with it.

$\displaystyle arctan(1) = \frac{\pi}{4} < \pi 1^4$

$\displaystyle arctan(\frac{1}{\sqrt{3}}) = \frac{\pi}{6} > \pi (\frac{1}{\sqrt{3}})^4 = \frac{\pi}{9}$