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

Answered by Sanjana K. Maths tutor

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