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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 Summary

In this solution we calculate the derivatives of two functions.

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** 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 ...

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