Question

Use the graph of the derivative of f to locate the critical points x0 at which f has neither a local maximum nor a local minimum? Graphs below

answer choices:
1. x0 = a , b 2. x0 = c , a 3. x0 = a , b , c 4. x0 = a 5. none of a , b , c 6. x0 = b 7. x0 = b , c 8. x0 = c

Answer 1

lol

Answer 2

critical points are where the derivative is 0, i.e. where it crosses the x - axis

Answer 3

if it goes from below to above, that means function was decreasing and then increasing, so you have a relative min

Answer 4

other way around for above to below. increasing then decreasing mean relative max

Answer 5

and if it just kisses the axis like your point c, then neither relative max nor min