You are Here: Home >< Maths

# Differentiation Help Watch

1. Hi,

I need to differentiate f(x) = 10e^((x^2)+2).

Is 20xe^((x^2)+2) correct?

If so, I need to find the extreme value of the function...so I need to begin by finding the value of x where f'(x) = 0, right? How do I do this?

Thanks a lot
2. (Original post by BJP)
Hi,

I need to differentiate f(x) = 10e^((x^2)+2).

Is 20xe^((x^2)+2) correct?

If so, I need to find the extreme value of the function...so I need to begin by finding the value of x where f'(x) = 0, right? How do I do this?

Thanks a lot
The differentiation is correct

Now that you've got the derivative, and you know it equals zero, we can rewrite it as . Now you solve the equation (note that e^anything cannot equal zero, which means that...? )

By extreme values I assume you mean stationary points rather than global points.
3. (Original post by Goldfishy)
The differentiation is correct

Now that you've got the derivative, and you know it equals zero, we can rewrite it as . Now you solve the equation (note that e^anything cannot equal zero, which means that...? )

By extreme values I assume you mean stationary points rather than global points.
Thanks for the confirmation

So, does x = 0 at the stationary point? Thanks again
4. (Original post by BJP)
Thanks for the confirmation

So, does x = 0 at the stationary point? Thanks again
No worries.

Yep, x = 0 at the stationary point. To find out what type of stationary point is, you'd usually look at the 2nd derivative and see if it's +ve or -ve at that point, when x = 0 in this case (but y'' is zero). Plotting a graph always helps: Wolfram
5. extreme value of the function? Do you refer to local/global extrema?

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: December 6, 2010
Today on TSR

### Oxford interview invitations

When is yours coming?

### Highest poster before midnight WINS £30!

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.