MYTUTOR SUBJECT ANSWERS

662 views

The curve C has the equation y = 2x^2 -11x + 13. Find the equation of the tangent to C at the point P (2, -1).

The first step is to differentiate the equation of the curve in order to find the gradient of the tangent at the curve. Remember that when differentiating polynomials, we multiply the index of the variable x, by its coefficient, then subtract 1 from the index. In addition, remember that x0 = 1.

In this case, dy/dx = 4x - 11.

Now if we plug in the x-coordinate of P (2) into dy/dx, we will get the gradient of the tangent to the curve at P.

dy/dx = 4(2) - 11

dy/dx = 8 - 11

dy/dx = -3.

Now we find the equation of the tangent using the formula for the equation of a straight line, and plugging in the coordinates of P:

y - y= m(x - x1)

y - (-1) = -3(x - 2)

y + 1 = -3x +6

3x + y - 5 = 0.

This is the equation of the tangent to the curve C at P.

James Y. A Level Maths tutor, GCSE Maths tutor, A Level Further Mathe...

12 months ago

Answered by James, an A Level Maths tutor with MyTutor


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

360 SUBJECT SPECIALISTS

Roma V. A Level Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor, ...
£26 /hr

Roma V.

Degree: Mathematics, Operational Research, Statistics and Economics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
Economics

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

£30 /hr

Alex S.

Degree: Physics (Bachelors) - Oxford, St Peter's College University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.PAT.

“Studying Physics at the University of Oxford. Looking to tutor maths and physics at all levels, be sure to send me a message if you have any questions!”

PremiumTimothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£36 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my 200+ hours of experience, we will be able to surpass the grades you want!”

About the author

James Y.

Currently unavailable: for new students

Degree: MPhys: Physics with North American Study (Masters) - Exeter University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“I'm James, a physics student at the University of Exeter. I'm currently in the final year my four year undergraduate master's degree, having completed a year abroad at Iowa State University in the United States. While in America I tut...”

MyTutor guarantee

|  1 completed tutorial

You may also like...

Other A Level Maths questions

How do I multiply two matrices together?

The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

How would you express (11+x-x^2)/[(x+1)(x-2)^2] in terms of partial fractions?

How do you multiply matrices together?

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