MYTUTOR SUBJECT ANSWERS

435 views

Find the tangent of the following curve, y=xe^x, at x=1 expressing it in the form y=mx+c?

Firstly, we calculate the y-value when x=1, namely y=e. Then we need to find the gradient of this curve at x=1, which can be determined by taking the derivative of y and then valuate it at x=1. So dy/dx=xe^x+e^x=(x+1)e^x, at x=1 dy/dx=2e. Using the equation of a line given by y-y_0=m(x-x_0), where m is the gradient of the line (namely m=2e) and (x_0,y_0) is the coordinate that is given to us (namely x_0=1 and y_0=e), we obtain that y-e=2e(x-1), hence y=2ex-e is the tangent of this curve at x=1.

Bruno S. A Level Maths tutor, GCSE Maths tutor, A Level Further Mathe...

1 year ago

Answered by Bruno, an A Level Maths tutor with MyTutor


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

293 SUBJECT SPECIALISTS

£20 /hr

James C.

Degree: Theoretical Physics (Masters) - Durham University

Subjects offered:Maths, Physics

Maths
Physics

“About Me: I'm a physics student in my fourth year at Durham University. I have always loved the neatness and completeness of science and maths, and this is something that I want to help other people to discover. I have previously tuto...”

£36 /hr

Jay B.

Degree: Physics (Masters) - Warwick University

Subjects offered:Maths, Physics

Maths
Physics

“University of Warwick physicist, mathematician, musician and tutor with 3 years' experience.”

MyTutor guarantee

£20 /hr

Mark H.

Degree: Mathematics MMath (Masters) - Manchester University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hello there, I'm Mark and I study Mathematics at the University of Manchester! Let me help you achieve your best! ”

MyTutor guarantee

About the author

£20 /hr

Bruno S.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
.STEP.

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

MyTutor guarantee

You may also like...

Other A Level Maths questions

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

A is a function of P . It is known that A is the sum of two parts, one part varies as P and the other part varies as the square of P . When P = 24 , A = 36 and when P = 18 , A = 9. Express A in terms of P .

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

Differentiate with respect to x: 4(x^3) + 2x

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