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Math Help - national exams Mathematics C problem

  1. #1
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    national exams Mathematics C problem

    Hi, I've got this assignment: "Decide the smallest value to the function f(x)= x^4/4 + x^3. I know how to differentiate but I got a bit unsecure when the divided by four got there.
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  2. #2
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    Re: national exams Mathematics C problem

    To differentiate a\cdot g(x) where a is a constant ( a = 1/4 in this case), differentiate g(x) and multiply the result by a. So, what do you get when you differentiate f(x) and equate it to 0?
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  3. #3
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    Re: national exams Mathematics C problem

    Quote Originally Posted by theraz View Post
    Hi, I've got this assignment: "Decide the smallest value to the function f(x)= x^4/4 + x^3. I know how to differentiate but I got a bit unsecure when the divided by four got there.
    Check if you need brackets, as posted this is rather trivial, would be more interesting (well slightly) if you were asked for the derivative of :

    f(x)=\frac{x^4}{4+x^3}

    CB
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    Re: national exams Mathematics C problem

    Quote Originally Posted by CaptainBlack View Post
    Check if you need brackets, as posted this is rather trivial, would be more interesting (well slightly) if you were asked for the derivative of :

    f(x)=\frac{x^4}{4+x^3}

    CB
    it looks like this, I'm sorry I didn't know how to write it properly.

    f(x)=\frac{x^4}{4}+x^3
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