Differentiate the function X^4 - (20/3)X^3 + 2X^2 + 7. Find the stationary points and classify.

Differentiation => 4X3 - 20X2 + 4XTo find the stationary points, set this differentiation = 04x (x2- 5x +4)4x (x-4)(x-1)x=0, x=4, x=1 are stationary points.
Find the second derivative 12X2 -40X +4. Substitute each of the stationary x values in.> 0 is minimum (x=0, x=4)<0 is maximum (x=1)

AH
Answered by Alice H. Maths tutor

3402 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

find the exact solution to the following equation: ln(x) + ln(3) = ln(6)


If cos(x)= 1/3 and x is acute, then find tan(x).


Solve the equation x^6 + 26x^3 − 27 = 0


Find the exact solution to ln(2y+5) = 2 + ln(4-y)


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:

© 2026 by IXL Learning