Amenah8
  • Amenah8
find the local maximum and local minimum for each if they exist. (INCLUDE THE VALUES) f(x)=(1/4)x^4 - (5/3)x^3 + 3x^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathmale
  • mathmale
First, I'd like to compliment you on having enclosed those fractions in parentheses. Very appropriate, very clear. :) I assume this problem is one from calculus. The first step of applying calculus to finding the local min and the local max (if either exists) is to differentiate the given function with respect to x. Please do that, and write your derivative here: f '(x) = ?
Amenah8
  • Amenah8
ok, i'll do that then get back with you!
Amenah8
  • Amenah8
f prime of x = x^3 - 5x^2 + 6x

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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
did you get the derivative ?
misty1212
  • misty1212
oh yes, i see that you did set it equal to zero and solve
misty1212
  • misty1212
you are lucky because this one factors
misty1212
  • misty1212
you good from there or no?
Amenah8
  • Amenah8
i think so. sorry, i was trying to do it based on what you said! one moment please...
Amenah8
  • Amenah8
x^2 (x-5+6)=0 ??
anonymous
  • anonymous
nope only x out front, not x^2
anonymous
  • anonymous
\[x^2-5x+6)=0\]
anonymous
  • anonymous
ok not that \[x(x^2-5x+6)=01\]
anonymous
  • anonymous
the second part factors,so the zeros are easy to find
Amenah8
  • Amenah8
so now we are supposed to factor what is in the parenthesis?
anonymous
  • anonymous
yes that is easier than using the quadratic formula in this case
Amenah8
  • Amenah8
but you can't factor an x out of 6? what would be the common factor?

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