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Math Help - quotient rule

  1. #1
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    quotient rule

    what would be the maximum value of the function

    f (x) = 20x/ 5 + x^2
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  2. #2
    Super Member craig's Avatar
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    Quote Originally Posted by emmalou264 View Post
    what would be the maximum value of the function

    f (x) = 20x/ 5 + x^2
    Seeing as the title of your thread is quotient rule, I'll presume that you know how to find the maximum value of a function, and it's the quotient rule you are stuck on.

    First define your two functions, lets call g(x) = 20x, g'(x) = 20 and h(x) = 5 + x^2, h'(x) = 2x

    The quotient rules states that for a function, f(x) = \frac{g(x)}{h(x)}, f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2}, which gives you:

    f'(x) = \frac{20(5 + x^2) - 20x(2x)}{(5+x^2)^2}

    I'll leave the rest to you
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