Derivative Tests

Question 1

1st Derivative Test:

Answer 1

f’(x) = 0
max or minimum located here

Question 2

2nd Derivative Test

Answer 2

f’‘(x) > 0 local min
f’‘(x) < 0 local max

Question 3

If f’(x) = 0 and f’‘(x) > 0, is it a local max or a local min?

Answer 3

local min located here

Question 4

If f’(x) = 0 and f’‘(x) < 0, is it a local max or a local min?

Answer 4

local max located here