CALC FINAL

concavity

second derivative

inflection points

second derivative

increasing & decreasing

first derivative

relative max/min

crit. numbers

absolute max/min

crit numbers & endpoints

ln(g(x))

1/g(x) * g’(x) CHAIN RULE

ladder eq

2a da/dt + 2b db/dt = 2c dc/dt

2c dc/dt

0

quotient rule

f’(x)*g(x) - (f(x) + g’(x) over g(x)²

open circle graph

approaching but not touching

closed circle graph

includes value, does not change limit

limit of trig function

RADIANS

piecewise functions

function based on limit approaching left or right

equation of tangent line

y-y₁=m(x-x₁)

e^x * e^x

e^2x

e^x + e^x

2e^x

integrals

+C

sin’(x)

cos(x)

cos’(x)

-sin(x)

tan’(x)

sec²(x)

cot’(x)

-csc²(x)

sec’(x)

sec(x)tan(x)

csc’(x)

-cot(x)csc(x)

any derivative of a trig function that starts with c

NEGATIVE

∫cos(x)dx

sin(x) + C

∫sin(x)dx

-cos(x) + C

∫sec²(x)dx

tan(x) + C

∫csc²(x)dx

-cot(x) + C

∫sec(x)tan(x)dx

sec(x)+C

∫csc(x)cot(x)dx

-csc(x) + C