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Mathematics 9 Online
OpenStudy (steve816):

At which value of x is the slope of the curve y = (1+x^2)^-1 the steepest?

OpenStudy (steve816):

So I found the derivative of this, but how do I find the steepest point?

zepdrix (zepdrix):

Lemme try saying it in a strange way, and see if you can get the hint. You're trying to `maximize` your slope values. Hmmm any ideas? :)

OpenStudy (steve816):

Hmm, still not so sure.

OpenStudy (steve816):

@zepdrix

zepdrix (zepdrix):

To maximize a function, you take a derivative and do some stuff. So to maximize slope, which is your derivative function, you would take a derivative and do some stuff, ya?

OpenStudy (steve816):

Ohh wait something just clicked on my head, does that mean I have to find the second derivative and see when the slope is 0?

zepdrix (zepdrix):

|dw:1475536330591:dw|

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