Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)

y = 2x + 5 + 27x-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x-3To find a stationary point, let the gradient function equal zero:2- 54x-3 = 02 = 54x-31/27=x-327=x3x = 3Let x = 3 in the graph function:y = 2x3 + 5 +27 x 1/9y=14Therefore, the stationary point is (3,14).

HH
Answered by Henry H. Maths tutor

3922 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the equation of the normal to the curve y = 2x^2 -3x +7 at the point x = 1.


Integrate Sin(x)Cos(x)dx.


Solve the complex equation z^3 + 32 + 32i(sqrt(3)) = 0


Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)


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