find the equation of the tangent to the curve y=2x^3+3 at the point where x= -2

know to differentiate to find the gradient of the tangent: y=2x3+3, dy/dx= 6x2When x=-2, dy/dx= 24When x=-2, y=2(-2)3+3, y= -13equation of a tangent is y=mx+c, where y=-13, x=-2 and m=24. Evaluate for c: -13=24(-2)+c, -13=-48+c, -13+48=c, c=35equation of the tangent: y=24x+35

DH
Answered by David H. Maths tutor

5227 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise the following expression: 2(x^4) + 4(x^2) - 32(x^3)


Work out the nth term of the sequence 3, 7, 11, 15, ...


cosx=cos60° what's X between 0 and 360


A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?


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