+

# The Derivative

(1)
• (0)
• (1)
• (0)
• (0)
• (0)
Author: c o
##### Description:

To define the derivative of a function at a point
To look at the graphs of functions along side the graphs of their derivatives
To show an example of how a derivative function is found in general

This packet introduces the derivative of a function, which is a central pillar of calculus.

(more)

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

37 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 32 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

## Prerequisite Material

Before starting this packet you ought to be comfortable working with limits and with finding the slope of a line tangent to a curve.

## Introducing Derivatives

This video builds on the learner's experience with finding the slope of a line tangent to a graph to define the derivative of a function.

## Visualizing Derivatives

In this video we look at several examples of functions plotted on the same set of axes as their derivatives in order to better see their relationship.

## Derivative Of X To The Nth Power

In this video we see an example of finding the general form of the derivative of f(x) = x^n for some exponent n.

Rating