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

AA
Answered by Arnav A. Maths tutor

2676 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation x^2 +2xy–3y^2 +16=0. Find the coordinates of the points on the curve where dy/dx = 0.


integrate x^2(2x - 1)


solve the equation 2cos x=3tan x, for 0°<x<360°


Polynomial long division, how do I do it?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences