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