© 2016 Shmoop University, Inc. All rights reserved.
Derivatives

Derivatives

Tangent Lines and Derivatives Exercises

Example 1

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

Example 2

For the function f and value a, determine if f ' (a) is positive, negative, or zero. 

Example 3

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

Example 4

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

Example 5

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

  •  

Example 6

  • For the function shown below, which is greater: f ' (x1) or f ' (x2)?

Example 7

  • For the function shown below, which is greater: f ' (x1) or f ' (x2)?

Example 8

  • For the function shown below, list in order from least to greatest: f ' (x1), f ' (x2), f ' (x3).

Example 9

  • For the function shown below, list in order from least to greatest: f ' (x1), f ' (x2), f ' (0).

Advertisement