post 20

happy new year! i can't believe it's already 2010. school year is halfway over. crazy, i know. okay, well back to math:

LIMIT RULES:
1 - When the degree of the bottom is GREATER than the degree of the top, the limit is 0.
2 - When the degree of the bottom is LESS than the degree of the top, the limit is infinity.**
3 - When the degree of the bootom is EQUAL to the degree of the top, divide leading coefficients.

implicit derivatives:
1. take the derivative of both sides
2. everytime you take the derivative of y, note it with dy/dx or y'
3. solve for dy/dx

when taking second derivative for implicit derivatives, it's a little different.
1. take first derivative.
2.take second derivative of your first derivative, noting all derivatives of y with d^2y/d^2x
3. everywhere there is dy/dx, plug in first derivative.
4. solve for d^2y/d^2x

HOW TO FIND THE EQUATION OF A TANGENT LINE:
1. take f'(x)
2. plug x in to find your slope/m.
3. plug x into f(x)to get y
4. using m and (x,y) plug it into the equation (y-y1)=m(x-x1).

well, i'll see you tomorrow. back to school... joy