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Math Help - First Derivative --- Increasing and Decreasing

  1. #1
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    First Derivative --- Increasing and Decreasing

    Use the first derivative to determine where the function
    is increasing and decreasing.

    1. Increasing _______________
    2. Decreasing _______________
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  2. #2
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    Re: First Derivative --- Increasing and Decreasing

    Hey spyder12.

    Try calculating the derivative first.
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  3. #3
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    Re: First Derivative --- Increasing and Decreasing

    I actually solved the problem---
    f(x)= 4x - 5x^(1/3)
    derivative of f(x)= 4 - (1.66667 / x^(2/3))
    x= -.268957 , .268957
    f(x)= 4(-.3) - 5(-.3)^(1/3) = +
    f(x)= 4(.1) - 5(.1)^(1/3) = -
    f(x)= 4(.3) - 5(.3)^(1/3) = +
    Increasing - (-inf, -.268957) U (.268957, inf)
    Decreasing - (-.268957, .268957)
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