Understanding Differentiation Part 1: The Slope of a Tangent Line

The video introduces differentiation, focusing on finding the equation of a tangent line to a curve. It explains the concept of a tangent line, which touches a curve at one point, and how to calculate its slope using secant lines. By moving a second point closer to the tangent point, the slope of the secant line approaches that of the tangent line. The video concludes by discussing the rate of change and its relation to differentiation.

What is the concept of differentiation as introduced in the text?

How do you find the equation of a tangent line to a curve at a given point?

Explain the process of finding the slope of the secant line between two points on the curve.

What conclusion can be drawn about the slope of the tangent line based on the values plugged in for x?

What is the significance of the slope in the context of the tangent line discussed?