calc derivative rules (2.5-2.7)

sinx =

cosx

cosx =

-sinx

ln a =

a^x

ln x

1/x

logbx

1/(lnb)(x)

the product rule

f’(x)g(x) + f(x)g’(x)

order is ____ important in the product rule

not

the quotient rule

lo (dhi) - hi (dlo)/ (lo)(lo)

Order _______ important in the quotient rule

is

IROC when a is unknown

lim h→0 f(x+h)-f(x)/h

what is the slope of the tangent line also known as?

IROC

AROC

f(x2)-f(x1)/x2-x1

IROC

lim h→0 f(a+h)-f(a)/h

what is the alternate form of the derivative

lim x→ c f(x) -f ( c )/x-c

how do u find horizontal tangent lines?

take the derivative and then set it equal to zero and solve

Derivative of tan x

Sec²x

Derivative of csc x

-cscxcotx

Derivative of sec x

Sec x tan x

Derivative of cot x

-csc² x