Quiz 4 is here. Please remember that the first midterm is this Wednesday.
Problem 1 asks for the derivative of the function .
To solve this, remember the following laws of exponents:
- , and
Using these laws we quickly obtain that . Now, to take the derivative of this function, we apply two of the rules covered on lecture:
- when is a constant, and
- when is a constant.
We have .
Problem 2 asks to use the product rule to find the derivative of .
The product rule says that
and in this case it gives us that the derivative is