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OpenStudy (raxis):
Where's the question? ^^;
OpenStudy (anonymous):
The derivative of \[ f(x)=\frac{ x ^{4} }{ 3 }-\frac{ x ^{5} }{ 5 }\] attains its maximum value at x=?
OpenStudy (anonymous):
The answer is 1.
OpenStudy (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.
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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
OpenStudy (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?
OpenStudy (anonymous):
yupp :)
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zepdrix (zepdrix):
yah looks like teacher made silly mistake c: that happens