Lindsey's Reflection

We recently had a test on chapter 2.
this test covered such things as derivatives, differentiation, product rule and quotient rule, the chain rule, and implicit differentiation.


here are a few notes on these concepts:

Derivatives:

there is a long way and a shortcut.

all of these mean you are dealing with a derivative:
y^1, f^1(x), dy/dx, d/dx, slope of a tan line,
slope of the curve at a point.

Continuous:

a function is continuous if it doesnt contain
one of the four types of discontinuities.

Types of discontinuities:

1. removable
2. jump
3. infinate
4. oscillation


Chain rule:

-take the derivative from the outside in

-derivative of outside, recopy inside, multiply by derivative of inside.

Implicit:

implicit- not solved for y

explicit-solved for y