Observe this graph closely. What does the tangent line tell you about the function at this point? Describe the connection with derivatives.

Look at the shaded region under the curve. What calculus idea does this image represent? Explain how you would find the area.

View the slope field shown. What does this pattern say about the possible solutions to the differential equation?

This image shows both a secant and a tangent to the same curve. Describe what each line represents in calculus terms.

Notice the approaching value as x moves closer to a point on the function. Describe what a limit is in the context of this image.

This diagram sets out a typical optimisation scenario. What steps would you use to find the maximum or minimum value?

Visualise the shape formed by rotating a curve around an axis. How do you set up an integral to find its volume?

This graph shows a function and its points of inflection. How does the second derivative explain the shape of the graph?

Examine the jump in this function. What type of discontinuity is shown? How do you describe it using calculus vocabulary?

Follow how the chain rule is applied to differentiate a composite function. Can you describe what’s happening?