Work out the equation of the tangent at x = 3, knowing that f(x) =x^2

Currently, we know that:f(x) = x2To find the equation of the tangent you need the gradient and the y-value of the graph at x = 3So, you can differentiate f(x):f'(x) = 2xlet x = 3: f(x) = 9 f'(x) = 6the equation of the line is written by:y - y1 = m(x-x1)By substitution:y - 9 = 6(x - 3)y = 6x - 9 --> this is the answeri do have a laptop with a touch screen and a pen, so it is easy for me to write

Answered by Arnav A. Maths tutor

1909 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate y=(4x^3)-5/x^2


Two masses A and B, 2kg and 4kg respectively, are connected by a light inextensible string and passed over a smooth pulley. The system is held at rest, then released. Find the acceleration of the system and hence, find the tension in the string.


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


Find the stationary points of y= 5x^2 + 2x + 7


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy