anonymous
  • anonymous
Calculus help!
Mathematics
chestercat
  • chestercat
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raxis
  • raxis
Where's the question? ^^;
anonymous
  • anonymous
The derivative of \[ f(x)=\frac{ x ^{4} }{ 3 }-\frac{ x ^{5} }{ 5 }\] attains its maximum value at x=?
anonymous
  • anonymous
The answer is 1.

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anonymous
  • anonymous
I found the derivative, and set it equal to zero, but 1 was not one of the values i got... :(
zepdrix
  • zepdrix
Ya the answer key is incorrect, it appears to have a max at \(x=\dfrac{4}{3}\). I keep getting x=3/4 when I work it out though, so I gotta figure out where my mistake is.
zepdrix
  • zepdrix
OH the problem was probably SUPPOSE TO BE,\[\large f(x)=\frac{x^4}{\color{salmon}4}-\frac{x^5}{5}\]
zepdrix
  • zepdrix
Because that clearly gives a critical point at x=1
anonymous
  • anonymous
ohh if you do it like that, do you get the right answer? ohh ok :pgoshh these problems :(
zepdrix
  • zepdrix
Oh yah it's x=4/3. I see where my mistake was :O Were you able to get that value?
anonymous
  • anonymous
yupp :)
zepdrix
  • zepdrix
yah looks like teacher made silly mistake c: that happens

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