MYTUTOR SUBJECT ANSWERS

306 views

How do you differentiate y=x^x?

To solve this problem, you need to put it into simplest form which is putting it into natural logarithm both the RHS and LHS. Then differentiate both side with respect to x as shown below.

In(y) = ln(x^x)    - natural logarithm both side

ln(y) = xln(x)      - using the power rule

(1/y)dy/dx = x*1/x + ln(x)      - Diffrentiate both side (chain rule in the RHS) 

dy/dx = y(1+ln(x))     - multiplying  'y' in both sides

         = x^x(1+ln(x))    - replacing the value of 'y'

Merhawi T. GCSE Maths tutor, A Level Maths tutor, GCSE Physics tutor,...

7 months ago

Answered by Merhawi, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

258 SUBJECT SPECIALISTS

£20 /hr

Becky H.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“I have always loved Maths and have always found it mind-bogglingly enjoyable – this is why I’m doing a degree in Maths at Exeter University. My enthusiasm will shine through from the start and I’m told this can be really infectious! I...”

£24 /hr

Joe M.

Degree: Biology (Bachelors) - Durham University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Chemistry
Biology

“Second year Biology student tutoring science and maths in a relaxed and friendly environment”

£22 /hr

Matthew B.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Physics
Further Mathematics

“About me: Hello! My name is Matt and I'm a 3rd year Maths student at the University of Warwick. I achieved all A*s at GCSE and 4 A*s at A-Level in Maths, Further Maths, Physics, and Chemistry. I am offering tutoring forA-Level Maths, ...”

About the author

£20 /hr

Merhawi T.

Degree: Mechanical Engineering (Masters) - Birmingham University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“About me I am a friendly and easily approachable person who is studying Mechanical Engineering at the University of Birmingham. I have just finished my first year with 1st honour. As a person who was studying A level not long ago, the...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

How do I find where the stationary points of a function are?

A rollercoaster stops at a point with GPE of 10kJ and then travels down a frictionless slope reaching a speed of 10 m/s at ground level. After this, what length of horizontal track (friction coefficient = 0.5) is needed to bring the rollercoaster to rest?

A girl saves money over 200 weeks. She saves 5p in Week 1, 7p in Week 2, 9p in Week 3, and so on until Week 200. Her weekly savings form an arithmetic sequence. Find the amount she saves in Week 200. Calculate total savings over the 200 week period.

How do you find the roots of a cubic equation?

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok