Find the tangent to the curve y = x^3 - 2x at the point (2, 4). Give your answer in the form ax + by + c = 0, where a, b and c are integers.

y = x3- 2xdy/dx = 3x2 -2plugging in x = 2, therefore gradient = 10using the formula to get the equation of a line y -y1=m(x - x1)substitute y1=4 and x1=2 to get the answer-10x + y + 16 = 0

KS
Answered by Kevalee S. Maths tutor

5984 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve: 2 sin(2x) = (1-sin(x))cos(x) for 0<x<2*Pi and give any values of x, if any, where the equation is not valid


What is the tangent line to the curve y = x^3+4x+5 at the point where x = 2?


Solve the inequality x < 4 - |2x + 1|.


The curve has the equation y= (x^3)/(2x-1). Find dy/dx.


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