Calculus 12
Introduction
Integral: Area under a graph between a fixed left point and variable right point
Ex: Integral of x^2 = A(x)
dA/dx = f(x) as dx -> 0 is true for any graph
Video 2: Paradox of the derivative
Goals:
- What is a derivative? It is an instantaneous rate of change
Example:
ds/dt(t) = [s(t+dt) -s(t)] / d(t)
Example 2:
f(x) = x^3
d/dx of x^3 = 3x^2