Question

Can someone check to see if I sketched the derivative correctly of a given graph?

Answer 1

The second graph is the derivative of the function.
Not sure how to graph the function at the cusp
Any help is greatly appreciated

Answer 2

It would help for you to enter the function.

Answer 3

Actually the graph is all that I was given. I was not given the function at all. I am suppose to use the information that if the graph is increasing then the derivative of the graph will be above the x axis, if the graph has a horizontal slope (ie tangent line) then the graph of the derivative has the root there, and if the graph is decreasing then the derivative of the graph will be below the x axis.
This is AP calculus and they could give any graph of any function, so they tend to do piecewise alot

Answer 4

looks about right :D
The graph of the derivative is not continuous at the cusp, as is the case in your pic, so nice job!

Answer 5

Thanks

Answer 6

If the function doesn't exist at the value of x=1 and therefore is not differentiable at x=1...which means it should have an open circle at your green dot.