- #1

I was wondering if anyone can explain to me how to do a first derivative test to find the relative extrema. I've been trying to read it, but it just isn't sinking in. thanks in advanced.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter physicsstudent04
- Start date

- #1

I was wondering if anyone can explain to me how to do a first derivative test to find the relative extrema. I've been trying to read it, but it just isn't sinking in. thanks in advanced.

- #2

NateTG

Science Advisor

Homework Helper

- 2,452

- 6

So, when looking for maximums and minimums you only need to check endpoints, and points where the derivative is zero or doesn't exist.

- #3

mathman

Science Advisor

- 8,065

- 541

- #4

thanks a lot guys. appreciate the help.

- #5

please open the attachment below, to get better picture...

(note : that the picture is the graph f(x) against x )

actually to see the better idea of first derivative by imagining it as a gradient of the graph of a fuction.

suppose I have fuction f(x)

when you derive it becomes f'(x)...

what is f'(x) ???

f'(x) is the gradient.....

now look at the picture that there are 3 red straight lines.you can get line straight ,if and only if at the turning point like what you see in the graph

at the other point you will find the line is slope like both the blue line.

remember that straight line has gradient 0....that is to say, f'(x)=0

so to find either maxima or minima ,you must find value of x ,which can be subtituted into f'(x) and get value 0.

(note : that the picture is the graph f(x) against x )

actually to see the better idea of first derivative by imagining it as a gradient of the graph of a fuction.

suppose I have fuction f(x)

when you derive it becomes f'(x)...

what is f'(x) ???

f'(x) is the gradient.....

now look at the picture that there are 3 red straight lines.you can get line straight ,if and only if at the turning point like what you see in the graph

at the other point you will find the line is slope like both the blue line.

remember that straight line has gradient 0....that is to say, f'(x)=0

so to find either maxima or minima ,you must find value of x ,which can be subtituted into f'(x) and get value 0.

Share:

- Last Post

- Replies
- 5

- Views
- 9K

- Last Post

- Replies
- 1

- Views
- 458

- Replies
- 9

- Views
- 579

- Last Post

- Replies
- 8

- Views
- 846

- Last Post

- Replies
- 9

- Views
- 872

- Replies
- 1

- Views
- 671

- Last Post

- Replies
- 1

- Views
- 643

- Last Post

- Replies
- 5

- Views
- 759

- Last Post

- Replies
- 5

- Views
- 181

MHB
Calculus Problem

- Last Post

- Replies
- 3

- Views
- 378