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    Finding Function Derivatives

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    Please see the attached file for the complete problem description.
    a. g(alpha) = 5^-alpha/2 sin 2alpha

    b. y = ln(t^3 +4) - l/2 arctan t/2

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    Solution Preview

    ** Please see the attached file for the complete solution **

    4. Find the derivatives of the functions
    a. (please see the attached file)
    Here the independent variable is α and the dependent variable is g.
    We rewrite this as:
    (please see the attached file)

    The first part of the derivative is the "product rule":
    (please see the attached file)

    Now both of the inside functions require the "chain rule":
    (please see the ...

    Solution Summary

    In this solution we calculate the derivatives of two functions.