1. ## Questions about relative extremas?

-Are critical points when the function is equal to zero?
-What is the difference of relative and absolute extrema? Is relative extrema is when the derivative is zero and the absolute extrema when the 2nd derivative = 0??

2. Critical points exist when the derivative of the function equals to 0 or undefined.

I'm not sure how to explain relative and absolute extrema, but I will try my best.

Relative extrema occurs when the derivative=0 and it changes sign around that x value.

Absolute extrema is basically the highest or lowest value on the graph.

The second derivative is used to test concavity.

3. So if the critical point the derivative is 1, does that mean it will be (1, 0) on the function? Or (1, 0) on the derivative graph?

4. If the critical point of a function occurs at x=1, that means the slope or derivative (slope=derivative) of the original function is 0 at x=1.

It does not imply that (0,1) or (1,0) will be points on the graph.

5. Advice helped me alot during my test today.. I know I probably didn't get a 100% on it, but when we got the the relative extrema part, the only hard part I had difficulty on was curve sketching(whihc I know I got wrong) and some chart thingy.. Thanks.