By: Micah Pollak, Indiana University Northwest
Pre-Test Question

Chapter 2. Pre/Post Test Questions: Derivatives Part 1

Math and Graphing Review
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You must read each slide, and complete any questions on the slide, in sequence.

A derivative can be best described as:
Correct! The derivative shows how a change in one variable affects another variable.
Sorry, the derivative shows how a change in one variable affects another variable.

1.

The slope of a line or a function is equal to its derivative.
Correct! The slope of a line or a function is always equal to its derivative.
Sorry, the slope of a line or a function is always equal to its derivative.

2.

Which of the following is one of the correct notations for the derivative of the function f(x)?
Correct! df(x)dx is a correct notation for the derivative of function f(x). f'(x) is another correct notation.
Sorry, df(x)dx is a correct notation for the derivative of function f(x). f'(x) is another correct notation.

3.

For a non-linear line the slope is always constant.
Correct! The slope of a non-linear line will change depending on where it is measured.
Sorry, the slope of a non-linear line will change depending on where it is measured.

4.

The derivative of a function is always constant.
Correct! The derivative of some functions (linear) are constant but not all functions.
Sorry, The derivative of some functions (linear) are constant but not all functions.

5.

We often use the derivatives instead of the slope to understand the relationship between variables because:
Correct! The derivative allows us to understand relationships, and especially non-linear relationships between variables.
Sorry, The derivative allows us to understand relationships, and especially non-linear relationships between variables. If two variables have a linear relationship, then the derivative is no more accurate than the slope.