MYTUTOR SUBJECT ANSWERS

58 views

A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

At first glance, this looks quite tricky, as usually when we are asked to find dy/dx, we have one equation, but here we have 2.

So in this case, we need to use the statement that dy/dx = (dy/dt) * (dt/dx)

Then, we just need to find dy/dt and dy/dx.

dy/dt = -2/t^2

dx/dt = -4, and therefore dt/dx = -1/4

So, (dy/dt)*(dt/dx) = (-2/t^2)*(-1/4)

= 1/2t^2.

Wesley M. 13 Plus  Maths tutor, A Level Maths tutor, 11 Plus Maths tu...

1 month ago

Answered by Wesley, an A Level Maths tutor with MyTutor

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

184 SUBJECT SPECIALISTS

£24 /hr

Osian S.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Osian, a Master's student at the University of Warwick. I've had fun with mathematics from a young age, and I hope to be able to instill this passion for mathematics in you, through my tutorials! Throughout my time at Warwick,...”

£20 /hr

Ben H.

Degree: Mathematics (Masters) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Who am I? I am currently studying for an undergraudate and masters degree in Mathematics at the University of Bristol. Maths has always been my main interest and I have always enjoyed the challenge of teaching myself new content, for ...”

MyTutor guarantee

£20 /hr

James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“About MeI'm a second year student at Exeter University. I've been passionate about maths from a young age and have carried that love through my school and uni career. I hope that I can generate the same passion for my tutees as well....”

About the author

£20 /hr

Wesley M.

Degree: Mathematics (Masters) - Bristol University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“I am a current Mathematics student at The University of Bristol. Maths can be a love-hate sort of subject for many people, but with my absolute love and enthusiasm for both maths itself and the idea of inspiring others, I hope to be a...”

You may also like...

Posts by Wesley

A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

Other A Level Maths questions

How do you find the equation of a tangent to a curve at a particular point?

What is an Inverse function?

How can we determine stationary points by completing the square?

Differentiate the function y=(6x-1)^7

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