Flashcards AP Calc AB

derivative of sinx

cosx

derivative of cosx

-sinx

derivative of tanx

sec²x

derivative of secx

secxtanx

derivative of cotx

-csc²x

derivative of cscx

-cscxcotx

integral of cosx

sinx + C

integral of sinx

-cosx + C

integral of csc²x

-cotx + C

integral of sec²x

tanx + C

integral of cscxcotx

-cscx + C

integral of secxtanx

secx + C

integral of tanx

-ln|cosx| + C

integral of cotx

ln|sinx| + C

integral of secx

ln|secx + tanx| + C

integral of cscx

-ln|cscx + cotx| + C

Initially

t = 0

At rest

v(t) = 0

At the origin

x(t) = 0 or s(t) = 0

Velocity is positive

Particle is moving right (or up)

Velocity is negative

Particle is moving left (or down)

Average velocity (Given x(t))

Change in position divided by change in time

[s(t2) - s(t1)] / [t2 - t1]

Average velocity (Given s(t))

The average value of the velocity function

Speed

Total Distance Traveled