MYTUTOR SUBJECT ANSWERS

136 views

How do you use derivatives to categorise stationary points?

When investigating graphs, you will often be asked to pick out features of the graph; stationary points being the most popular. You will need to know that a stationary point on f(x) can be found by solving the following equation: f'(x)=0.

Once you have found the stationary points, you will need to find the second derivative of the graph, also known as f''(x). By finding the values of f''(x) at the x-coordinates where stationary points exist, you can categorise the stationary points.

If f''(x) > 0, then the stationary point is a minimum point.

If f''(x) < 0, then the stationary point is a maximum point.

If f''(x) = 0, then the stationary point is a point of inflection.

Alex W. A Level Maths tutor, GCSE Maths tutor, A Level Further Mathem...

4 months ago

Answered by Alex, a GCSE Further Mathematics tutor with MyTutor


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

46 SUBJECT SPECIALISTS

£18 /hr

Alex W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“Hi i'm Alex. I am currently a first year Maths student at Warwick University, and can tutor you in Maths, Further Maths and Physics at both GCSE and A-Level. I have had plenty of teaching experience before so I can hopefully help you ...”

MyTutor guarantee

£18 /hr

Louise S.

Degree: Mathematics with Education & languages (Bachelors) - Imperial College London University

Subjects offered: Further Mathematics , Spanish+ 4 more

Further Mathematics
Spanish
Physics
Maths
Chemistry
.MAT.

“I am a 2nd year maths student at imperial. My aim is for students to understand what they are learning, not just to learn it by rote. I think learning should be fun , and I will try and make them so.”

£20 /hr

Lloyd S.

Degree: Mathematics G100 (Bachelors) - Bristol University

Subjects offered: Further Mathematics , Maths

Further Mathematics
Maths

“About Me:I am 19 and from Devon, currently in my first year studying Maths at the University of Bristol. I have a real passion for Maths and I really hope I can help you to understand, and maybe even enjoy doing maths - I know not ev...”

About the author

£18 /hr

Alex W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“Hi i'm Alex. I am currently a first year Maths student at Warwick University, and can tutor you in Maths, Further Maths and Physics at both GCSE and A-Level. I have had plenty of teaching experience before so I can hopefully help you ...”

MyTutor guarantee

You may also like...

Posts by Alex

How do you complete the square?

How do you use derivatives to categorise stationary points?

What are polar coordinates?

What are the main causes of energy loss in a transformer?

Other GCSE Further Mathematics questions

Finding the derivative of a polynomial.

What is differentiation used for?

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

How many different ways are there to seat 6 people at a round table?

View GCSE Further Mathematics 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