674 views

### Differentiate y = 4ln(x)x^2

So we want to differentiate y =  4x2ln(x) with respect to y. For this we need to use the product rule.

The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x)

We can therefore make f(x) = 4xand g(x) = ln (x)

f'(x) = 8x nad g'(x) = 1/x

Therefore dy/dx = 8xln(x) + 4x2/x which can be simpliefied to 8xln(x) + 4x, which can be further simplified to get the answer:

4x(2ln(x) + 1)

2 years ago

Answered by Beth, an A Level Maths tutor with MyTutor

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

#### 344 SUBJECT SPECIALISTS

£36 /hr

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my 200+ hours of experience, we will be able to surpass the grades you want!”

£22 /hr

Degree: Mathematics (Bachelors) - Imperial College London University

Subjects offered:Maths

Maths

“21 years old. 2 years experience teaching. BSc Mathematics Imperial College London. Studying MSc in Aerospace Dynamics (please ask for references).”

£30 /hr

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

Currently unavailable: for regular students

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths, History+ 1 more

Maths
History
Economics

“ABOUT MEI am an Economics student at Durham University who took Maths, History, Economics and Further Maths for A Level. I am very enthusiastic abotu the subjects I took, particularly Economics (obviously or I wouldn't still be doing...”

MyTutor guarantee

### You may also like...

#### Posts by Beth

Differentiate y = 4ln(x)x^2

Explain the main sources of monopoly power.

What are the steps in answering a source based question?

#### Other A Level Maths questions

Find the solutions to z^2 = i

Find the x co-ordinates of the stationary points of the graph with equation y = cos(x)7e^(x). Give your answer in the form x = a +/- bn where a/b are numbers to be found, and n is the set of integers.

How can I improve my mathematics

An ellipse has the equation (x^2)/4 + (y^2)/9 = 1. Find the equation of the tangent at (-6/5 , 12/5)

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.