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

2956 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has equation: 2(x^2)y + 2x + 4y – cos(pi*y) = 17. Use implicit differentiation to find dy/dx in terms of x and y.


Find f''(x), Given that f(x)=5x^3 - 6x^(4/3) + 2x - 3


A circle C with centre at the point (2, –1) passes through the point A at (4, –5).....


Use the chain rule to show that, if y = sec(x), then dy/dx = sec(x)tan(x).


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:

© 2026 by IXL Learning