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First Derivative Test Exercises

Example 1

For the function, use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

for 0 < x

Example 2

For the function, use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

f (x) = -x3 + 3x2 – 3x

Example 3

For the function, use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

Example 4

For the function, use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

Example 5

For the function, use the First Derivative Test to determine if each critical point is a minimum, a maximum, or neither.

f (x) = ex