MYTUTOR SUBJECT ANSWERS

321 views

If y = 5x^3 - 2x^2 + 2, what is dy/dx?

Differentiation can be done term-by-term, so we can treat the 5x3, -2x2 and 2 separately. We can also 'take out' the coefficients: to differentiate 5x3, for example, differentiate x3 first and then multiply by 5.

For the first term: x3 differentiates to 3x2, so we get 15x2.

Second term: x2 differentiates to 2x, so we have -4x.

Third term: The derivative of a constant is zero.

The answer is just the sum of these, which is 15x2 - 4x.

Alex K. GCSE Maths tutor, A Level Maths tutor

8 months ago

Answered by Alex, an A Level Maths tutor with MyTutor


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

254 SUBJECT SPECIALISTS

£26 /hr

Lloyd S.

Degree: Mathematics G100 (Bachelors) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“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...”

£20 /hr

Matthew M.

Degree: Engineering Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Law+ 1 more

Maths
Law
History

“I am an Engineering Math student at the University of Bristol. I have a range of interests, which cover maths, history and law, and would love to help others in these areas as well as encourage the same enthusiasm I have in others! I a...”

MyTutor guarantee

£20 /hr

Charlotte D.

Degree: Economics and Finance (Bachelors) - Exeter University

Subjects offered: Maths, Economics

Maths
Economics

“I'm a first year student, at the university of Exeter, studying Economics and Finance. I have a passion to help others and help them achieve what they deserve. I will talk my students through any questions they have problems with by p...”

MyTutor guarantee

About the author

Alex K.

Currently unavailable: until 24/06/2016

Degree: Mathematics (Masters) - Cambridge University

Subjects offered: Maths

Maths

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Alex

How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

If y = 5x^3 - 2x^2 + 2, what is dy/dx?

Other A Level Maths questions

Does the equation: x^2+5x-6 have two real roots? If so what are they?

How do I integrate ln(x)?

How to differentiate using the Product Rule

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

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