Find the stationary points of y= 5x^2 + 2x + 7

Stationary points occur when the gradient is 0 so when dy/dx =0 therefore we need to find dy/dx.By using 'down and decrease', we bring down the power and multiply by the coefficient and then decrease the power by 1So, dy/dy = (5*2)x^1 + (2)x^0 which simplifies to dy/dx = 10x + 2Setting dy/dx = 0 gives us 10x + 2 = 0. We can rearrange this to get x = -1/5 and sub this back into the original equation to find the y coordinate stationary point= (-1/5, 34/5)

Answered by Alexandra M. Maths tutor

3135 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate xcos(x)


2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.


For the curve y = 2x^2+4x+5, find the co-ordinates of the stationary point and determine whether it is a minimum or maximum point.


x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences