Differentiate 2x^3+23x^2+3x+5 and find the values of x for which the function f(x) is at either at a maximum or minimum point. (Don't need to specify which is which)

f(x)=2x3+23x2+3x+5

f'(x)=6x2+46x+3

Maximum or minimum when f'(x)=0

6x2+46x+3=0

Using the Quadratic Formula: x=(-b+-squareroot(b2-4ac))/2a

x1=-0.0658

x2=-7.6

SK
Answered by Sanjana K. Maths tutor

4192 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The straight line with equation y = 3x – 7 does not cross or touch the curve with equation y = 2px^2 – 6px + 4p, where p is a constant. Show that 4p^2 – 20p + 9 < 0.


How do you take the derivative of a^x ?


Determine the integral: ∫x^(3/4)dx


Find the finite area enclosed between the curves y=x^2-5x+6 and y=4-x^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:

© 2025 by IXL Learning