Write the equation of a line tangent to a polynomial through a point

The video tutorial explains how to write the equation of a tangent line using the point-slope form. It covers understanding and calculating the slope through limits, simplifying expressions using algebraic methods, and finding the slope at a specific point. The tutorial concludes with writing the final equation of the tangent line.

What is the point-slope form of the equation used to write the equation of a tangent line?

How do you determine the slope of a function using limits?

Explain the process of substituting X + H into the function F(X).

What is the significance of using parentheses or brackets when subtracting F(X)?

Describe how to simplify the expression when evaluating the limit as H approaches zero.

What is the final expression for the slope M after evaluating the limit?

How do you write the equation of the tangent line once you have the slope and a point?