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

3585 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find integers A and B, such that (5x +4)/((2-x)(1+3x)) = A/(2-x) + B/(1+3x)


Find the coordinates of the minimum point on the curve: y = x^2 - x - 2


Find the derivative of x^3 - (y^2)x =3


The curve A (y = x3 – x2 + x -1) is perpendicular to the straight-line B at the point P (5, 2). If A and B intersect at P, what is the equation of B? Also, find any stationary points of the curve A.


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