MYTUTOR SUBJECT ANSWERS

526 views

The equation of a curve is y = x^2 - 5x. Work out dy/dx

This is an example of differentiation. This can be useful in many concepts, one being finding the gradient of a line or curve at a certain point. To differentiate these types of equations, the rule is to multiply the front by the power and to take one from the power!

y = x^2 - 5x

We will take each part separately. Starting with x^2. We multiply the front (which is 1) by the power (which is 2), therefore the constant at the front is now 2. We take one from the power, so 2 - 1 = 1. Therefore the derivative of x^2 is 2x.

Next we take 5x. Multiply the front (5) by the power (1), and take 1 from the power (1 - 1 = 0). Therefore the derivative of 5x is 5.

Now, we put it all together! dy/dy = 2x - 5!

Venetia L. A Level Maths tutor, GCSE Maths tutor, A Level Further Mat...

12 months ago

Answered by Venetia, a GCSE Further Mathematics tutor with MyTutor


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

84 SUBJECT SPECIALISTS

£30 /hr

Michelangelo M.

Degree: MMath Mathematics with Placement (Masters) - Bath University

Subjects offered:Further Mathematics , Maths+ 4 more

Further Mathematics
Maths
Italian
Computing
.STEP.
.MAT.

“Mathematics student at the University of Bath, willing to help you love this subject and improve your grades.”

£18 /hr

Vlad B.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“Hi! I am studying Mathematics at Bath University and I am passionate about teaching, and learning mathematics.”

MyTutor guarantee

£18 /hr

Eleanor J.

Degree: Natural Sciences in Maths and Physics (Masters) - Durham University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“Study Maths and Physics at Durham Previous tutoring experience Enjoy helping students improve and enjoy the subjects Adaptable to different academic needs”

About the author

£36 /hr

Venetia L.

Degree: General Engineering (Masters) - Durham University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“I study General Engineering at the University of Durham. I have always enjoyed maths and sciences, so hope to help students who share my love for them too!”

You may also like...

Posts by Venetia

Simplify (3x^2-x-2)/(x^2-1)

Solve 5x + 4 = 14 + x

The equation of a curve is y = x^2 - 5x. Work out dy/dx

Other GCSE Further Mathematics questions

How do I find the limit as x-->infinity of (4x^2+5)/(x^2-6)?

To differentiate a simple equation: y= 4x^3 + 7x

Can you explain induction and go through an example?

What is differentiation used for?

View GCSE Further Mathematics 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