Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Rules of Differentiation
Language:
English
Media Formats:
eBook, Interactive

# Rules of differentiation modules

## Overview

After completing this section, students should be able to do the following.

• Use the definition of the derivative to develop shortcut rules to find the derivatives of constants and constant multiples.
• Use the definition of the derivative to develop shortcut rules to find the derivatives of powers of xx.
• Use the definition of the derivative to develop shortcut rules to find the derivatives of sums and differences of functions.
• Compute the derivative of polynomials.
• Recognize different notation for the derivative.
• State the derivative of the natural exponential function.
• State the derivative of the sine function.

# Patterns in derivatives

## Ximera Module

Two young mathematicians think about short cuts'' for differentiation.

# Basic rules of differentiation

## Ximera Module

We derive the constant rule, power rule, and sum rule.

# The derivative of the natural exponential function

## Ximera Module

We derive the derivative of the natural exponential function.

# The derivative of sine

## Ximera Module

We derive the derivative of sine.