Learn how to write the equation of the tangent line to a quadratic

The video tutorial explains how to find the equation of a line using point slope form. It begins with an introduction to the concept and proceeds to graph the function X^2 - 2, highlighting how the slope varies at different points. The tutorial then demonstrates how to find the derivative of the function to determine the slope line. It calculates the slope at a specific point and uses this information to find the equation of the tangent line, emphasizing that further simplification is unnecessary.

What is the primary form used to find the equation of a line in this lesson?

• Quadratic form

• Point-slope form

• Slope-intercept form

• Standard form

What is the derivative of the function X^2 - 2?

• 2X - 2

• X^2

• 2X

• 0

At which point is the slope of the tangent line calculated in this lesson?

• X = 4

• X = 5

• X = 3

• X = 2

What is the Y value when X = 3 for the function X^2 - 2?

• 6

• 5

• 7

• 8

What is the equation of the tangent line at X = 3?

• y - 6 = 7 * (x - 3)

• y - 7 = 6 * (x - 3)

• y - 3 = 6 * (x - 7)

• y - 7 = 3 * (x - 6)