# 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 Î± 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.

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