AP Calculus AB Mistakes

what to do when approximating

at least 3 decimal places and use ≈

how to answer question (frq)

give a whole explanation (the temperature at t = 20 seconds is 40 degrees celsius)

if integral > 0 then

increasing rate

if integral < 0 then

decreasing rate

d/dx(g(y))

g’(y) * dy/dx

arcsin same as

inverse sin

tan line approximation overestimates when

concave down

tan line approximation underestimates when

concave up

with Riemann sum, change in x becomes

b-a/n (width of rectangles)

with Riemann sum, the x becomes

lower limit + k * change in x

what should you always do

READ QUESTION CAREFULLY (derivative? integral? of what?)

trick they use with graphs

line may look tangent, but if you zoom in it’s not

speed increasing when

velocity and acceleration have the same sign

speed decreasing when

velocity and acceleration have different signs

Riemann sum

NOT NECESSARILY EQUALLY SPACED SUBINTERVALS

cannot exponentiate ln() if

it’s negative

if you state a function is continuous you must

explain how you know

cone ratio of r to h is only true when

talking about something inside a fixed cone (not necessarily true for say an ice sculpture melting)

right Riemann overestimates when

function is positive and increasing OR negative and decreasing

left Riemann overestimates when

function is positive and decreasing OR negative and increasing