AP Calc Unit 2 - Chain Rule Part 2 and Dervative Rules Using a Table

table step one

find derivatives

table step two

rewrite derivative

table step three

plug in point

table step four

simplify

a to the x

a to the x times ln a

• original times ln of coefficent

a to the u

a to the u times ln a times u’

• original times ln of u times exonent derivative

a to the x times a to the y

a to the x plus y

a to the x divided by a to the y

a to the x minus y

a to the x to the y

a to the x times y

log a x

1/ x times ln a

• one over split log

log a u

1/ u ln u times u’

• u as x times u derivative add ons

ln (x times y)

lnx plus lny

• multiply is distribute and add

ln (x/y)

lnx - lny

• divide is distribute and subtract

ln x to the y

y times lnx

• exponent becomes coefficent

ln 1

0

ln e

1

logc c

• c is the same number

1