Nuffield Free-Standing Mathematics Activity Derivative matching

y = 3 – 2x – x2 y = – 2 – 2x Think about What connections are there between this function, its derivative and their graphs? Questions to ask: What kind of function is this? What will its graph look like? What is its derivative? What will the derivative’s graph look like?# What connections are there between the two graphs.

y = x3 – 2x2 – x + 2 y = 3x2 – 4x – 1 Think about What connections are there between this function, its derivative and their graphs? Questions to ask: What kind of function is this? What will its graph look like? What is its derivative? What will the derivative’s graph look like? What connections are there between the two graphs?

Derivative matching Reflect on your work Summarise what you know about the connections between the graphs of functions and their derivatives.