You are Here: Home >< Maths

# 'ln' differentiation watch

1. how would u differentiate:

y= xlnx ?
2. As a product. Hold x constant, differentiate ln x. Hold lnx constant, differentiate x. Add the two results.
3. so basically lnx + x/x = lnx + 1
4. u mean using the product rule ?

1.ln(x)+x.1/x

ok

thanks
5. (Original post by ronnie)
how would u differentiate:y= xlnx ?
(uv)' = u'v + uv'

u = x
u' = 1
v = lnx
v' = 1/x

(xlnx)' = (1)(lnx) + (x)(1/x)
(xlnx)' = lnx + 1
6. thanks everybody !

### Related university courses

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: June 24, 2005
The home of Results and Clearing

### 2,722

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. SAE Institute
Animation, Audio, Film, Games, Music, Business, Web Further education
Thu, 16 Aug '18
2. Bournemouth University
Fri, 17 Aug '18
3. University of Bolton
Fri, 17 Aug '18
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

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