Exploration for the Rules for Differentiation.

Enter the functions and differentiate.
Find the derivative of a scalar multiple.

[Graphics:../Images/AnalyticFunctionMod_gr_116.gif]

[Graphics:../Images/AnalyticFunctionMod_gr_117.gif]

 

 

 

 

 

Find the derivative of a linear combination.

[Graphics:../Images/AnalyticFunctionMod_gr_118.gif]

[Graphics:../Images/AnalyticFunctionMod_gr_119.gif]

 

 

 

 

Find the derivative of a product of two functions.

[Graphics:../Images/AnalyticFunctionMod_gr_120.gif]

[Graphics:../Images/AnalyticFunctionMod_gr_121.gif]

 

 

 

 

Find the derivative of the quotient of two functions.

[Graphics:../Images/AnalyticFunctionMod_gr_122.gif]

[Graphics:../Images/AnalyticFunctionMod_gr_123.gif]

 

 

 

 

Find the derivative of the composition of two functions.

[Graphics:../Images/AnalyticFunctionMod_gr_124.gif]

[Graphics:../Images/AnalyticFunctionMod_gr_125.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell