MYTUTOR SUBJECT ANSWERS

200 views

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

In order to solve this question, we need to use the chain rule when differentiating. 

The chain rule formula is dy/dx= (dy/du)*(du/dx). 

Let u=1+x3

Differentiating with respect to x gives du/dx=3x2

We now have y=u0.5

Differentiating with respect to u gives dy/du=0.5u-0.5=0.5*(1+x3)-0.5

Therefore dy/dx= (dy/du)*(du/dx)= 0.5*(1+x3)-0.5*(3x2)= 1.5x2*(1+x3)-0.5

Rebecca M. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathem...

5 months ago

Answered by Rebecca, an A Level Maths tutor with MyTutor

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

184 SUBJECT SPECIALISTS

£26 /hr

Tom W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths

Maths

“Third year Maths undergraduate, with experience teaching Maths from GCSE to first year.”

£26 /hr

Robbie H.

Degree: Engineering Design (Masters) - Bristol University

Subjects offered: Maths, Physics

Maths
Physics

“I am a 22 year old Master's student at the University of Bristol studying Engineering Design. I achieved a First in my Bachelors and A*A*A at A Level. I have apassion for maths and science and hope that in my sessions some of this wil...”

MyTutor guarantee

£24 /hr

Tom H.

Degree: Economics (Bachelors) - Durham University

Subjects offered: Maths, Spanish+ 3 more

Maths
Spanish
French
Economics
Business Studies

“Top tutor from Durham University, ready to help you improve your grades, all the way to A*.”

About the author

Rebecca M.

Currently unavailable: for regular students

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Psychology+ 2 more

Maths
Psychology
English Literature
.STEP.

“About Me:I am a Warwick University maths student who has also dabbled in philosophy and mechanics modules.My Aim: A lot of the people I have helped who struggle, do so because they either lack understanding or lack passion for th...”

MyTutor guarantee

You may also like...

Posts by Rebecca

Given 6x+2y=4 and 5x+y=8, solve the simultaneous equations to find x and y.

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

Other A Level Maths questions

Express (2x-1)/(x-1)(2x-3) in partial fractions.

The variable x=t^2 and the variable y=2t. What is dy/dx in terms of t?

How do I integrate ln(x)

How do we differentiate y=a^x when 'a' is an non zero real number

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