Consider the function f(x)=x^4-4x^3-x^2+12x-2
1. Find the coordinates of the local maximum
2. Find the coordinates of the local minimum
3. Find the coordinates of the minimum of this graph.
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To find a local max or local min....take the first derivative of this function...then set that = 0...the values you get are critical points.
then find the second derivative...and plug those critical points into that equation....if the result is >0 then you have a positive concavity which will show you a local MIN
if the result is <0 then you have a negative concavity which will show you a local MAX
can i ask how to find the first derivative and second derivative?
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@Jhannybean anyway to do this WITHOUT derivatives??
The only way I can think of to do this...is via Calculus...
If this is what level of math you are / will be in...then you should definitely read up about Derivatives @Mktlymb
is a pretty good link
im taking pre calculus honors. Okay I'll try to figure out by reading that site. Thanks
@jim_thompson5910 I saw you were on....do you know any other ways of approaching this?
the only other way is to use a calculator, but it's odd how Mktlymb hasn't learned about derivatives yet
if you have a TI calculator, they have min/max features in the graph mode which will help you find the local min/max