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# 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: .