Question

In the figure attached inside, the second derivative at points a, b, and c is (respectively).....

a) +, 0,−

b) −, 0,+

c) −, 0,−

d) +, 0,+

e) 0,+, 0

f) 0,−, 0

please explain? thank you!!

Answer 1

When the graph is concave down, second derivative is -ve

inflection point, it's zero

Concave up, it's +ve

Answer 2

so it's -,0,+ ? b?

Answer 3

Looks right

Answer 4

okay awesome!! thanks!!! :)

Answer 5

what about this one?

At x = 0 the signs of the function and the first and second derivatives, in order, are.....

a) −,+,+

b) −,−,−

c) −,+,−

d) −,+,+

e) +,−,+

f) +,+,+

?? :/

Answer 6

First derivative should be easy.

Second derivative - it's concave up at x=0 so...

Answer 7

1st derivative is positive?

Answer 8

and then - and then + ?

+,-,+ ?

Answer 9

@agent0smith ?

Answer 10

First derivative is the slope. Identify whether it's a + or - slope at x=0

Answer 11

oh a neg slope right? at x=0?

Answer 12

@agent0smith thank you!! :)

Answer 13

Oh i guess your + - + was right earlier, i missed that it also asked for the sign of the function.

Answer 14

haha yeah :P yayy thanks!!!

Answer 15

:D