MYTUTOR SUBJECT ANSWERS

590 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...

1 year ago

Answered by Rebecca, an A Level Maths tutor with MyTutor


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

349 SUBJECT SPECIALISTS

£30 /hr

Anuradha D.

Degree: Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 4 more

Maths
Physics
Music
Further Mathematics
Chemistry
-Personal Statements-

“Hello everyone! My name is Anuradha (you can call me Anu), and I am a Physics Undergrad at Durham. I have always had a “thing” for science and am so pleased to be studying it – and hope that I can give you all the support you need to ...”

£26 /hr

Daniel K.

Degree: Mathematical and Theoretical Physics (Masters) - Oxford, Merton College University

Subjects offered:Maths, Science+ 5 more

Maths
Science
Physics
Further Mathematics
Chemistry
.MAT.
-Personal Statements-

“Mathematics and Theoretical Physics, University of Oxford. I enjoy sharing my experience and enthusiasm in Maths with those who could do with some help”

£22 /hr

Leon P.

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).”

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...”

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

Find dy/dx for y=x^2 * sin(x)

Differentiate with respect to x: y=xln(x)

Solve 2sec^2(x) = 3 + tan(x) for 0 < x <pi/2

Solve the equation x=4-|2x+1|

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