Sketching the derivative? (1 Viewer)

[fatima96]

Hi all
For sketching the f'(x) to f(x) graphs, how would I justify certain things? For example in a 2007 Ruse trial Q9 it states that point C is a local maximum on f'(x) and then goes on to ask what type of point occurs at C on y = f(x). It then asks for a justification. PS i have no clue what weights are.

How would I justify this?

Thanks in advance

 

[Girls]

Stationary points on a curve (in this case a local maxima) correlate to points of inflexion on the primitive function.