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

2846 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

I don't understand how to visualise differentiation, please could you show my an example to allow me to understand what it actually is better?


differentiate y=e^2x


Find the max/min value of the function: f(x) = 5x^2 - 20x + 15


find the integral of y=x^2 +sin^2(x) with respect to x between the limits 0 and pi


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning