find all the local maxima and minima (the y-values) and the values of x where they occur.

Question

g(x)=x^3-4x+1

Answer 1

g'=3x^2-4=0
x= +- sqrt (3/4)

g''=6x at +sqrt (3/4) it is +, and at - sqrt (3/4) it is negative.

Answer 2

so what is the local maxima and minima

Answer 3

Well, this means you don't know any calculus.

So graph it, and read the values. Do it on your calculator.

Answer 4

do you have an idea how i can find it

Answer 5

you called it pre-calc so I guess we can't use Calculus, too bad.

Do you have use of a programmable calculator?
Some classes now use those to solve your kind of question.
You could make a table of values, graph it, then by trial and error and a scientific calculator find the largest and smallest y values you can find.

hint: the min is just a little to the left of (1,-2), and the max is around (-1,4)

Answer 6

yes i do the class i am in is pre calc

Answer 7

is the minima x=1.15 y= -2.07

maxima x=-1.15 y=4.07

Answer 8

Yes, you are correct to one decimal accuracy.