MYTUTOR SUBJECT ANSWERS

368 views

given y=(1+x)^2, find dy/dx

There are two ways in which this we can do this,

The first is explanding the brackets to get 1+2x+x2 and differentiating to get 2+2x.

The second way is using the chain rule, let u=1+x such that y=u2 and differentiate both equations to get du/dx=1 and dy/du=2u. (du/dx)(dy/du)  = dy/dx. plug theses together and we get dy/dx = 2u. To finish off we will need to have the answer in its original form of in terms of x's so plug in u=1+x to gain 2+2x

As you may see both ways generated the same answer. It doesn't matter which way you do alsong as you remember the rules, I will personally do both to double check my answer.

Sam G. A Level Maths tutor, GCSE Maths tutor, 13 plus  Maths tutor, A...

1 year ago

Answered by Sam, an A Level Maths tutor with MyTutor


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

295 SUBJECT SPECIALISTS

£24 /hr

Shannon W.

Degree: Chemistry with Medicinal Chemistry (Masters) - Newcastle University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Chemistry
Biology
-Personal Statements-

“About me: I am a chemistry student at Newcastle University. I have always been interested in science and mathematics, and can sit for hours watching documentaries on the subjects. I really enjoy getting stuck into exam questions and ...”

£22 /hr

Joe C.

Degree: General Engineering (Masters) - Durham University

Subjects offered:Maths, Science+ 2 more

Maths
Science
Physics
Computing

“Masters student at Durham University, ready to help you excel at Maths and Science ”

£26 /hr

Paul I.

Degree: Neuroscience (Doctorate) - Southampton University

Subjects offered:Maths, Science+ 2 more

Maths
Science
Chemistry
Biology

“Neuroscience PhD student working as a tutor in evenings & weekends. I provide tuition for KS3, GCSE and A-level students in Maths and Science subjects. ”

About the author

Sam G.

Currently unavailable: for regular students

Degree: Morse (Masters) - Warwick University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi, I'm Sam.I am a second year student at University of Warwick doing Morse which stands for Maths, Operational Research, Statics and Economics.Availability:I am available to Tutor every day. My schedule is always changing due to ...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

How do you integrate by parts?

How do you integrate e^x cos x

How do I solve equations like 3sin^2(x) - 2cos(x) = 2

Given y=(1+x^3)^0.5, find dy/dx.

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