7 terms

What is the main difference between precalculus and calculus.

Precalculus is static while the study of calculus is dynamic.

What does a tangent line look like?

Try to draw an example before looking at the answer.

Try to draw an example before looking at the answer.

The tangent line touches a curve at one point.

In this diagram, on the bottom graph, it is the blue line.

In this diagram, on the bottom graph, it is the blue line.

What does a secant line look like?

Try to draw an example before looking at the answer.

Try to draw an example before looking at the answer.

The secant line touches a curve at two points.

In this diagram, it is the black, dotted line.

In this diagram, it is the black, dotted line.

What is the formula for the slope of a tangent line?

How do you find an approximate area underneath a curve?

Find the sum of the areas of rectangles under the curve.

Inscribed Rectangles

Rectangles under a curve.

Circumscribed Rectangles

Rectangles through and just above a curve.