Attachment 26159

I first find the derivative of the function using the quotient rule, to get and set equal to zero and solve to get x=e

is this correct, or are there are there more steps?

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- Dec 9th 2012, 12:59 PMkingsolomonsgravefinding critical points of a fuction
Attachment 26159

I first find the derivative of the function using the quotient rule, to get and set equal to zero and solve to get x=e

is this correct, or are there are there more steps? - Dec 9th 2012, 02:41 PMAZachRe: finding critical points of a fuction
That looks right. x = 0 is a critical number too though because it causes f(c) to no longer exist, but that's outside the interval. Did you test the end points? There's a theorem (I think extreme value theorem) that says there should be an absolute maximum and minumum in that interval which means there'll be another critical number in that interval.

- Dec 9th 2012, 03:03 PMskeeterRe: finding critical points of a fuction
not true ... x = c is a critical value of f(x) if f(c) is defined and f'(c) = 0 or f'(c) is undefined. Endpoint extrema are not necessarily critical values. Recommend you check out the link re: definition of a critical value.

Pauls Online Notes : Calculus I - Critical Points - Dec 9th 2012, 03:16 PMAZachRe: finding critical points of a fuction
Since 0 is outside the interval does that mean the same as it not being defined?

- Dec 9th 2012, 03:19 PMskeeterRe: finding critical points of a fuction
- Dec 9th 2012, 03:36 PMAZachRe: finding critical points of a fuction