What is the gradient of the curve y = 2x^3 at the point (2,2)?

Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x2Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When x = 2, dy/dx = 6× 4 = 24Therefore the gradient is 24.

ER
Answered by Emily R. Maths tutor

7440 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How and when should I integrate by parts?


If given two parametric equations for a curve, how would you work out an equation for the gradient?


differentiate the following equation: y = x^2 + 2x


Which Real values of x satisfy 3/ln(x) = ln(x) + 2?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences