MYTUTOR SUBJECT ANSWERS

592 views

How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.

So lets have a quick recap of differenciation to start off. In informal terms, differenciation is carried out by dropping the power to be in front of the term we are differenciating to as well as decrementing the power. So in practice, x^3 would differenciate to 3x^2 when differenciating in terms of x.

We drop the power (being 3) so that it is in front of the term (3x). Then decrement the power (so x^3 becomes x^2). Putting it all together, we get the result 3x^2. Similarly, if we were to differenciate 2x^3. We would obtain (2)(3)x^2 being 6x^2. Don't forget to multiply your result by the number that was in front previously! Which in this case was 2 being in front of x.

Now lets look at the question in hand, lets differenciate each term separately and add them up.

1. x^2 would become 2x^1 if we were to drop the power and decrement the power. 2x^1 is easily rewritten as 2x

2. 6x. This is actually 6x^1. So if we again drop the power and decrement the power, we obtain 6x^0. Which is 6

3. Lastly, 2 which is actually 2x^0. So if we do the same again, we get 0x^-2. 0 multiplied by anything is 0. Therefore 2 differenciated with respect to x is 0.

Adding up add the differenciated terms results in 2x + 6 + 0. So dy/dx = 2x + 6.

Tarun S. GCSE Maths tutor, A Level Maths tutor, Mentoring HTML & CSS ...

1 year ago

Answered by Tarun, an A Level Maths tutor with MyTutor


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

366 SUBJECT SPECIALISTS

£26 /hr

Scott R.

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I am currently completing 2 PGCEs in Leeds. I have always had a passion for maths and my objective is to help as many as possible reach their full potential.”

£20 /hr

Rhys T.

Degree: Medicine (Other) - Cambridge University

Subjects offered:Maths, Science+ 6 more

Maths
Science
Physics
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Medical School Preparation-

“Cambridge Medical student tutoring Maths and Science, I am young and enthusiast for my subjects.”

MyTutor guarantee

£20 /hr

Alicia P.

Degree: Maths and Economics (Bachelors) - Leeds University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Hi! I am a very friendly, patient and enthusiastic tutor with previous experience of working with and teaching younger people.”

MyTutor guarantee

|  5 completed tutorials

About the author

Tarun S.

Currently unavailable: until 30/11/2016

Degree: Computer Science (Bachelors) - Imperial College London University

Subjects offered:Maths

Maths

“I am very passionate about the study of mathematics and enjoy breaking down complex problems into simple solutions whilst explaining the process of doing so. I adapt my teaching methods to the each student to try and maximise their gr...”

MyTutor guarantee

You may also like...

Posts by Tarun

How can i solve the following simultaneous equations? 5x + y = 4 and 3x + 2y = 5?

How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.

How do i factorise 20 + 10x?

How do i solve the quadratic x^2 + 5x + 6 = 0 ?

Other A Level Maths questions

How can I calculate the maximum value of the compound angle formulae Rsin(x+a) and Rcos(x+a)?

how to find flight time/distance and greatest hight of projectiles?

Find the solutions to 'sec(17-2x)=-2' for -180<x<180 (in degrees).

How to find out where 2 lines cross/simultaneous equations

View A Level Maths tutors

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

mtw:mercury1:status:ok