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

3580 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I work out (2+y)^4 using the binomial expansion?


Show that 12coshx - 4sinhx = 4e^x + 8e^-x


How do I find the maximum/minimum of a function?


Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.


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