Math 162
Class 1
What is a derivative?
What is a
tangent line
?
What is a
tangent line
?
Another example
An anti-example
The Weierstrass Function
What is a
rate of change
?
What is a
local
rate of change?
What is a
scaling factor
?
What is a
scaling factor
?
Derivative rules
Chain rule
Product rule
What is an integral?
Given a
continuous function
\(f\)
on an interval
\([a,b]\)
…
Wait, what does
continuous
mean?
What is an integral?
Hydrostatic pressure
Volume of a solid by slicing