# 2015 AP Calculus BC 5a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy | Summary and Q&A

11.0K views
April 30, 2016
by
2015 AP Calculus BC 5a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy

## TL;DR

The video explains how to find the equation for the tangent line to a function at a specific point.

## Install to Summarize YouTube Videos and Get Transcripts

### Q: What is the purpose of finding the equation for a tangent line to a function?

Finding the equation of a tangent line allows us to determine the instantaneous rate of change of the function at a specific point. It provides valuable information about the behavior of the function in the vicinity of that point.

### Q: How is the slope of the tangent line determined?

The slope of the tangent line is determined by evaluating the derivative of the function at the given x-coordinate. This gives us the rate at which the function is changing at that point.

### Q: What is the significance of the y-intercept of the tangent line?

The y-intercept of the tangent line represents the value of the function at the given x-coordinate. It helps us determine the specific point on the graph of the function where the tangent line touches.

### Q: Can the process shown in the video be applied to any function?

Yes, the process of finding the equation for a tangent line can be applied to any function, as long as the derivative of the function exists at the given point.

## Summary & Key Takeaways

• The video demonstrates how to find the equation of a tangent line to a function at a specific point.

• It explains the process of finding the slope of the tangent line using the derivative of the function.

• The video also shows how to determine the y-intercept of the tangent line by evaluating the function at the given x-coordinate.