From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!

# Units, Words, and Notation Exercises

### Example 1

If f(x) = x + 3, what is f ' (1)?

### Example 2

What is each phrase when translated into Leibniz Notation?

• the instantaneous rate of change of z with respect to x when x = 5
• the instantaneous rate of change of x with respect to z when x = 5
• the instantaneous rate of change of x with respect to z when z = 5

### Example 3

Translate the Leibniz notation into words.

### Example 4

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity .

### Example 5

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity: .

### Example 6

If x is measured in hours, y is measured in wombats, and z is measured in mice, determine the units of the quantity: .