Asked by john

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

g(x)=x^3-4x+1
Answered by bobpursley
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.
Answered by john
so what is the local maxima and minima
Answered by bobpursley
Well, this means you don't know any calculus.

So graph it, and read the values. Do it on your calculator.
Answered by john
do you have an idea how i can find it
Answered by Reiny
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)

Answered by john
yes i do the class i am in is pre calc
Answered by john
is the minima x=1.15 y= -2.07

maxima x=-1.15 y=4.07
Answered by Reiny
Yes, you are correct to one decimal accuracy.
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