Terrio's Reflection

So I'm going eat at LaCarreta's in like 20 minutes and I need to hurry up and get this over with before I forget....kind of like I forgot my math stuff once again. I'll just review some old stuff that I remember and still have scratch work from on my computer desk from the past....

Implicit and explicit derivatives :
explicit-solved for y
implicit-not solved for y
When you take the derivative, you must put the notation, dy/dx, by any variable
except for x.

Example :

1) x^2 + y^2 = 9
2x + 2ydy/dx = 0
2ydy/dx = -2x
dy/dx = -2x/2y
= -x/y

When solving related rates problems, you must follow the guidelines.

Example :
1) y = square root(x)
dy/dt = ? x = 4 dx/dt = 3
y = square root(x)
dy/dt = 1/2x^-1/2
dy/dt = 1/2(4)^-1/2
= 3/4