Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x) . Find the coordinates of the stationary points .

y = x3 + 1.5x-6x Hence, dy/dx = 3x2 + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y coordinates of the stationary points. Then write out the coordinates as a final answer like so, (1,-7/2) and (-2,10)

MC
Answered by Michael C. Maths tutor

3564 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

With log base 4, solve log(2x+3) + log(2x+15) = 1 + log(14x+5)


Differentiate with respect to X: x^2 + 2y^2+ 2xy = 2


Differentiate y= (2x+1)^3. [The chain rule]


At time t = 0 a particle leaves the origin and moves along the x-axis. At time t seconds, the velocity of P is v m/s in the positive x direction, where v=4t^2–13t+2. How far does it travel between the times t1 and t2 at which it is at rest?


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