MYTUTOR SUBJECT ANSWERS

637 views

A curve has the equation y = x^4 - 8x^2 + 60x + 7. What is the gradient of the curve when x = 6?

To find the gradient of any curve, we take the derivative. So in this case, we need to take dy/dx. We do this by multiplying the term by the power on x, and then lowering the power by one. For example, for the first term, x4, the power is four, so we multiply x4 by four, and the power becomes three, so we have 4x3. We repeat this for all of the terms individually to get dy/dx = 4x-16x +60. 

That gives us the gradient at any point. To get the gradient at x = 6 we need to substitute the value in to the new equation, so we get dy/dx = 4 * 63 - 16 * 6 + 60 = 828

Elizabeth H. A Level Chemistry tutor, GCSE Chemistry tutor, A Level P...

1 year ago

Answered by Elizabeth, an A Level Maths tutor with MyTutor


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

425 SUBJECT SPECIALISTS

£20 /hr

Vlad B.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

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

MyTutor guarantee

|  1 completed tutorial

PremiumDaniel  M. GCSE Maths tutor, GCSE Physics tutor, GCSE Biology tutor, ...
£26 /hr

Daniel M.

Degree: Physics (Bachelors) - Bath University

Subjects offered:Maths, Science+ 4 more

Maths
Science
Physics
Chemistry
Biology
-Personal Statements-

“As a patient, understanding, and industrious tutor, I aim to nourish your child's academic curiosity in a caring, understandable and encouraging manner.”

£26 /hr

Ayusha A.

Degree: PhD Electrical Engineering (Doctorate) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

About the author

Elizabeth H.

Currently unavailable: for new students

Degree: Natural Science (Masters) - Durham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“Hi! I'm a Physics and Chemistry student at Durham University. I love learning and applying science to real world questions, and want to help you do the same!”

You may also like...

Other A Level Maths questions

Differentiate sin(x)cos(x) using the product rule.

Use the chain rule to differentiate y=(x-3)^(-3)

Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

Solve the following equation by completing the square: x^2 + 6x + 3 = 0.

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