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

3286 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the value of x if the following is true: 3(x – 2) < 8 – 2x


Integral of e^x*sinx


Find the tangent of the following curve, y=xe^x, at x=1 expressing it in the form y=mx+c?


Find the tangent to the curve y=x^2 +2x at point (1,3)


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