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

3794 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the value of dy/dx at the point where x = 2 on the curve with equation y = x^ 2 √(5x – 1).


Given (x-2) is a factor of ax^3 + ax^2 + ax - 42, find the value of a


How do I break down (x-2)/((x+1)(x-1)^2) into partial fractions?


Why is the derivative of the exponential function itself?


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:

© 2025 by IXL Learning