Thread: At what value would the derivative..

1) At what value(s) of x, if any, would the value of the derivative be equal to zero?
A) When x=c and x=e only.
B) When x=b only.
C) When x=a, x=b, x=c, and x=d.
D) When x=a, x=b, and x=d.
Here, I put C.

2) At what value(s) of x would the derivative not exist?
A) When x=c and x=e only.
B) When x=c only.
C) When x=a, x=b, x=d, and x=e only.
D) When x=a, x=b, and x=d only.
Here, I put A.

Am I right on these?

What is the function?

what function? It didnt give a function, just the graph

Hello, salma!

1) At what value(s) of , if any, would the value of the derivative be equal to zero?

A) When and only.
B) When only.
C) When
D) When
. . Here, I put C. . . . . no

There is a vertical tangent at C.
The derivative is DNE (does not exist).

2) At what value(s) of would the derivative not exist?

A) When and only.
B) When only.
C) When only.
D) When only.
. . Here, I put A. . . . . no

You are half-right.
The derivative is DNE at

But the derivative does exist at

The point itself does not exist.
But you can sketch the tangent line there, can't you?

umm ok I think i got it now, so for the 1st one, would it be D then?
and then the 2nd one would be B