need some help on finding the critical value and x intercept of this equation:

y(x) = ax-xln(x)

thanksness

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- Mar 27th 2008, 12:44 PMmathleteFam. of func.
need some help on finding the critical value and x intercept of this equation:

y(x) = ax-xln(x)

thanksness - Mar 27th 2008, 01:11 PMteuthid
the x-intercept is the such that . so...

so the x-intercept of this function is .

What's the definition of a critical value? I'm not familiar with that term. - Mar 27th 2008, 04:56 PMtopsquark
A critical value would be a value where the first derivative of the function is 0 or where the function does not exist.

So the function does not exist at x = 0, so this is a critical point.

So when this is 0 we have a critical point:

So this is your other critical point.

-Dan