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)

Answered by Alice H. Maths tutor

2253 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the differential equation dy/dx = 6xy^2 given that y=1 when x=2.


Show how '2sin(x)+sec(x+ π/6)=0' can be expressed as √3sin(x)cos(x)+cos^2(x)=0.


Find the max/min value of the function: f(x) = 5x^2 - 20x + 15


The point A lies on the curve with equation y = x^(1/2). The tangent to this curve at A is parallel to the line 3y-2x=1. Find an equation of this tangent at A. (PP JUNE 2015 AQA)  


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy