April 14

3.5.  The Chain Rule

objective:

• to understand how to find derivatives of functions using the chain rule
• to understand how to find derivatives of exponential functions
• to understand how to find derivatives of parametric equations

• chain rule
• using prime notation and Leibniz notations
• power rule combined with chain rule
• tangents to parametric curves
• horizontal and vertical asymptotes of parametric curves

solved problems - using key ideas

• write function as composite of functions and find derivative,#1-4
• practice using the chain rule,#9-13,21-26
• find equation of line tangent to a point of a curve,#34
• find derivatives given values of functions,#37
• finding derivatives from graphs,#39
• using chain rule and data from table to estimate derivatives,#41
• careful look at notation,#44
• differential equation,#49
• extended derivatives,#52
• parametric equations,#62

group work
none

announcements
Homework. #6,8,14,38,40,42,58,60
 
 
 
 
 
 

QUESTION OF THE DAY

For which positive integers n is f(x) =xn even? Odd?

SOLUTION