Question

g(x)=x^4+3x^3+x^2-3x-2 Identify the extreme values and state the kind relative or absolute and Min or Max

I need help doing this. Will fan and medal.

Answer 1

This is Calculus right? Do u know what happens at relative Min / Max?

Answer 2

Pre-calc, yes. And sort of, not really. I was in a riding accident and missed classes for a week, so I didn't get to see this gone over. That's all. If you walk me through it I am very happyy to. I love math and learning.

Answer 3

I want to ensure I'll find the correct answer to this :)

Answer 4

Sorry to hear about ur riding accident :( hope u are doing ok now!

it will take some reading to catch up as the class has covered lots of things in a week. to solve this problem, do u know what is dy/dx equal to at relative Min / Max?

Answer 5

Thanks, I am doing better now! It will take time but I am patient. I've touched based on it but don't know it well, can you explain slightlu please? Just so we're on the same page

Answer 6

Here is a good page for reference:

http://tutorial.math.lamar.edu/Classes/CalcI/MinMaxValues.aspx

Read that first plz

Answer 7

So local means or refers to certain points, global is kinda like infinite or uncertain points? Did I understand that much?

Answer 8

Correct - u read fast :)

Now im gonna cheat a lil....u can "see" how g(x) looks like from here:

http://www.wolframalpha.com/input/?i=g%28x%29%3Dx%5E4%2B3x%5E3%2Bx%5E2-3x-2

Answer 9

I see. No we see max and min points

Answer 10

Also where it crosses on the graph

Answer 11

Correct - the plot gives the absolute min / max to u already.

Apply what u learn from the lamar page, where are the relative min / max?

Answer 12

min; about (0.5, -3) (guessing) max; about (-1, 0) ( Guessing this because its the highest "wave" of the graph)

Answer 13

no u are jumping ahead now - from the lamar page, what happens to g'(x) at the relative min/max?

Answer 14

are you refering to the nature of the graph itself?

Answer 15

i was referring to the Fermat's Theorem on the lamar page:
"
If g(x) has a relative extrema at x=c and g'(c) exists, then x=c is a critical point of g(x). In fact, it will be a critical point such that g'(c)=0."

Answer 16

So, does that mean this is in relation to our max/min points? @superdavesuper

Answer 17

@superdavesuper I have another question I need to ask, can we just message back andforth like we are? That's eaier to. I'll medal you now.