MYTUTOR SUBJECT ANSWERS

524 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...

12 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

308 SUBJECT SPECIALISTS

£20 /hr

Sam S.

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths

Maths

“Here to share the tips for solving frustrating problems that I have learnt on the way to my Maths degree at the University of Bristol.”

PremiumShruti V. 13 Plus  Maths tutor, 11 Plus Maths tutor, A Level Maths tu...
£30 /hr

Shruti V.

Degree: Biomedical Engineering (Masters) - Southampton University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Chemistry
-Personal Statements-

“I am patient and friendly and strive for a comfortable and fun working environment that also achieves results.”

£22 /hr

Ellen T.

Degree: Economics (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Economics
-Personal Statements-

“Hi! I study Economics at LSE. With previous tutoring experience, I am keen to provide genuine advice and create an engaging learning environment. ”

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

Solve: x^2-7x+6=0

How can I remember the difference between differentiation and integration?

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

Find the derivative of the curve e^(xy) = sin(y)

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