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

5090 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to factorise x^2 + 6x +5


Explain the difference between the domain and range of a function.


c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.


Finding the value of x when 3x + 5 = 35


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