Write the tangent line through a point of natural log equation

The video tutorial explains how to write the equation of a tangent line through a given point. It begins by introducing the tangent line equation format and emphasizes the importance of finding the slope. The slope is determined by calculating the derivative of the function using the power rule. The tutorial concludes by applying these steps to finalize the tangent line equation at a specific point.

What is the general formula for the equation of a tangent line?

• y - Y1 = m * (X - X1)

• y = X^2 + C

• y = mX + b

• y = m * X + Y1

What is the first step in finding the slope of a tangent line?

• Calculate the area under the curve

• Find the derivative of the function

• Determine the midpoint of the line

• Identify the y-intercept

Which rule is used to find the derivative in this context?

• Chain Rule

• Product Rule

• Power Rule

• Quotient Rule

What is the slope of the tangent line at the point (1, 3)?

• 6

• 4

• 5

• 3

What is the final equation of the tangent line through the point (1, 3)?

• y = 5X + 3

• y - 3 = 5 * (X - 1)

• y - 1 = 3 * (X - 5)

• y = 3X + 5