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Mathematics 19 Online
OpenStudy (anonymous):

Calculus help!

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.

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 :)

zepdrix (zepdrix):

yah looks like teacher made silly mistake c: that happens

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