Differentiation Rules
 

Name	Rule	Description	Example(s)
Derivative of a Constant		The derivative of a constant is zero.
Power rule		The derivative of a variable to a power is the power multiplied by the variable to the power reduced by one.
Constant Multiple Rule		The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.
Difference Rule		The derivative of the difference of two functions is the difference of the derivatives of the two functions.
Derivative of Natural Exponential Function		The derivative of e raised to a quantity is e raised to that quantity, times the derivative of that quantity.

Sample Problem.
 

find	Given sample problem.
	The Difference Rule tells us that we can first calculate the derivative of each term, and then find the difference (or sum) or the results.
	Find the individual derivatives and then add or subtract.

Some Differentiation Rules Teaching Video

Differentiation Rules



Derivatives of Exponential Functions

If you have the Journey Through Calculus CD, load and run MResources/Module 4/Polynomial Models/Basic Differentiation Rules and Quiz. This module will allow you try some more differentiation problems.

Tutorial on the Power Rule @ Calculus-Help.com
 

Check Concepts

#1: True or False: The derivative of a product is the product of the derivatives.	Choose One True False
#2: True or False: The derivative of a difference is the difference of the derivatives.	Choose One True False
#3:  is special as a function because....	Choose One It is an exponential functionIts derivative is a constantIts derivative is = its y-value
#4: The derivative of a variable to a power is the power multiplied by the variable....	Choose One To the power of one less than what it wasTo the first powerTo the zero power
#5  is equal to: (a), (b), (c), (d)	Choose One  ab cd