use the graph of f(x) in the graph to find the sign (positive or negative) of dy/dx and d2y/d2x at the points A,B,C, and D

2 answers

We don't see the graph, nor a definition of f(x). Could you complete the information?
The graph of a function
y = f(x)
is shown. At which point(s) are the following true? (Select all that apply.)

(a)
dy
dx
and
d2y
dx2
are both positive.
A
B
C
D
E

(b)
dy
dx
and
d2y
dx2
are both negative.
A
B
C
D
E

(c)
dy
dx
is negative but
d2y
dx2
is positive.
A
B
C
D
E