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

3929 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Sketch the graph y = 2sin(4x)


How do I calculate the reactant forces for the supports of the beam where the centre of mass is not same distance from each support?


What is the difference between a scalar product and a vector product, and how do I know which one to use in questions?


Use Simpson's rule with 5 ordinates (4 strips) to find an approximation to "integral between 1 and 3 of" 1/sqrt(1+x^3) dx giving your answer to three significant figures.


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:

© 2025 by IXL Learning