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

7642 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you calculate the angle between two vectors?


A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.


Is the function f(x)=x^3+24x+3 an increasing or decreasing function?


Find the values of x, where 0 < x < 360, such that x solves the equation: 8(tan[x])^2 – 5(sec[x])^2 = 7 + 4sec[x]


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences