Find the derivative with respect to x and the x-coordinate of the stationary point of: y=(4x^2+1)^5

y=(4x^2+1)^5                        y=u^5          u=4x^2+1

                                             y’=5u^4   (wrt u)  u’=8x

y’=40x(4x^2+1)^4

y’=40x(4x^2+1)^4=0             x=0  (x^2+1>0)

                           

EB
Answered by Ellie B. Maths tutor

3777 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the general solution to the differential equation dy/dx = y/(x+1)(x+2)


Simplify ln(e^2) - 4ln(1/e)


Why is the differential of a constant zero?


Use logarithms to solve the equation 2^5x = 3^2x+1 , giving the answer correct to 3 significant figures.


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