AP CALC BC SA ASSESMENT

Evaluating limits analytically

• plug in to get an answer. If you get 0/0, there may still be a limit.

• Factor, simplify, use conjugates to find potential holes in your graph that could be cancelled to reveal the limit. If it’s an asymptote, it’s either infinity or (-) infinity

• If still sumn/0, it DNE. Occurs w/ asymptote in opposite directions

Squeeze theorem

Trig limits

Continuity & discontinuity

Greatest integer function

IVT

Infinite limits

Average Rate of Change

Instantaneous Rate of Change

find the derivative of the given x value

differentiation rules

Physics C

Trig Derivatives

Product & Quotient rules

Derivative notations & higher order derivatives notations

theres no shortcut. you find the derivative, then find the derivative of that.

Limit Definition

Alternate form

Volume of specific shapes

Reminders

• rewrite negative exponents

• Units when possible

• Simplify fractions as much as possible.

Implicit higher order

Plug in 1st derivitive if you still hv a y’ in the 2nd derivative