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    Derivatives (5 Problems)

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    Find the derivative of the function and simplify.

    f(x)= x^3(5 - 3x^2)

    f(x)= x^2 + x - 1/x^2 - 1

    f(x)= (5x^2 + 2)^3

    g(x)= x sqrt(x^2 + 1)

    given f(x)= 3x^2 + 7x +1, find f''(x)

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    https://brainmass.com/math/derivatives/derivatives-functions-simplified-36484

    Solution Preview

    1. f(x)= x^3(5 - 3x^2)
    f' = 5x^3 - 3 x^5
    = 15 x^2 - 15x^4
    = 15 x^2(1 -x^2)

    f(x)= x^2 + x - ...

    Solution Summary

    Derivatives are found and simplified.

    $2.49

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