Purchase Solution

Finding Function Derivatives

Not what you're looking for?

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

Solution Summary

In this solution we calculate the derivatives of two functions.

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:

The first part of the derivative is the "product rule":

Now both of the inside functions require the "chain rule":

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.