MYTUTOR SUBJECT ANSWERS

211 views

Find dy/dx of 5x^2 + 2y^3 +8 =17.

As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx)

5x-> 10x (multiply the power by the number at the start and take away 1 from the power)

2y3 -> 6y2 . dy/dx (the dot means multiply)

8 -> 0 (a sole constant always differnetiates to 0)

17 -> 0

Therefore the equation now looks like this:

10x + 6y2 . dy/dx = 0

so 6y2 .dy/dx = -10x

so dy/dx = -10x / 6y

Anish P. A Level Maths tutor, GCSE Maths tutor, A Level Economics tutor

6 months ago

Answered by Anish, an A Level Maths tutor with MyTutor


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

296 SUBJECT SPECIALISTS

£20 /hr

Neal A.

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered:Maths

Maths

“I'm a student at the University of Manchester and am willing to help every student get a chance to be successful and excel at school and have a bright future.”

MyTutor guarantee

£20 /hr

Jake B.

Degree: Mathematics (Masters) - Durham University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“About Me: Hi, my name is Jake, and I am a second year Mathematics Student at Durham University. I have tutored maths for 3 years now, at both GCSE and A level, and I absolutely love it! I My Sessions: During the sessions I will cove...”

£20 /hr

Tom B.

Degree: Mechanical Engineering (Masters) - Southampton University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Tom - a first year student at the University of Southampton studying Mechanical Engineering :)”

MyTutor guarantee

About the author

Anish P.

Currently unavailable: for regular students

Degree: Mathematics with Economics (Bachelors) - LSE University

Subjects offered:Maths, Economics

Maths
Economics

“About me: I'm currently studying Maths with Economics at the London School of Economics and Political Science (LSE). I recently finished my A-Levels in Maths, Further maths and Economics achieving A*AA. I have mentored students at sch...”

You may also like...

Posts by Anish

Analyse two economic benefits of globalisation. [6]

Find dy/dx of 5x^2 + 2y^3 +8 =17.

Other A Level Maths questions

Find the solutions to x^3+4x^2+x-5=1

The triangle ABC is such that AC=8cm, CB=12cm, angle ACB=x radians. The area of triangle ABC = 20cm^2. Show that x=0.430 (3sf)

How to differentiate tan(x)?

solve sin(2x)=0.5. between 0<x<2pi

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