Secondary Catalogue

Series: Derivatives: Tangent and Normal Lines


Average Rate of Change

Average Rate of Change

Finding the average rate of change of a function over an interval is the same thing as finding the slope of the function over that same interval. In other words, if you drew a straight line between the points on the function at the endpoints of...Show More
Normal Lines

Normal Lines

Learn how to find the equation of the normal line at a given point. To find the equation of the normal line, you'll need to first calculate the derivative of the function, then plug the given point into the derivative to find the slope of the...Show More
Tangent Lines

Tangent Lines

When you're finding the equation of the tangent line, the most important thing to remember is that you're looking for the equation of a line, which means you'll want to use the point-slope formula for the equation of a line. In order to use the...Show More
Value That Makes Two Tangent Lines Parallel

Value That Makes Two Tangent Lines Parallel

In this video we'll learn how to find the value of 'a' that makes two tangent lines of a function parallel to one another, assuming that the tangent lines intersect the graph at the points x=a and x=a+1. Our approach will be to write equations...Show More
Values That Make the Function Differentiable

Values That Make the Function Differentiable

When we talk about differentiability, it’s important to know that a function can be differentiable in general, differentiable over a particular interval, or differentiable at a specific point. In order for the function to be differentiable in...Show More