Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
27 Cards in this Set
- Front
- Back
|
y=ln(x)
|
y'=(1/x)
|
|
|
y=ln(f)
|
y'= f'
OVER f |
|
|
y=log(a)(x)
|
y'=(1/x)*(1/ln(a))
|
|
|
y=log(a)(f)
|
y'= (f'/f)*(1/ln(a))
|
|
|
y=e^x
|
y'=e^x
|
|
|
y=e^(f)
|
y'=e^(f) (f')
|
|
|
y=a^x
|
y'=a^x (ln(a)
|
|
|
y=a^(f)
|
y'=a^(f) (ln(a)) (f')
|
|
|
y=x^e
|
y'=ex^(e-1)
|
|
|
"equation of a tangent line"
"linear approximation" |
answer must be given in:
y=mx+b |
|
|
how to check quotient rule answers
|
redo problem with product rule
works the same with checking product rule with quotient rule |
|
|
Elasticities
|
E(x) = x*f'(x)
OVER f(x) |
|
|
E= -2 in words
|
'if P increases by 2%, D will go down by 4%; overpriced"
|
|
|
E= -(1/2) in words
|
'if P increases by 2%, D will go down by 1%; under-priced"
|
|
|
Elasticity is...
|
change in demand over change in price
|
|
|
A Critical Point is...
|
a point where f'(x) is 0 or undefined and F(x) is defined
|
|
|
if f has a critical point at x, then that point is:
|
-a relative max if f' goes from + to -
-a relative min if f' goes from - to + |
|
|
a saddle point is...
|
a critical point, but not an extrema
|
|
|
y=(x/a)
|
y'= (x'/a)
|
|
|
average cost func
|
c(x)
OVER x |
|
|
marginal cost for the nth item
|
c'(n-1)
|
|
|
E>1
|
elastic
|
|
|
E<1
|
inelastic
|
|
|
E=1
|
unitary elastic
|
|
|
unitary elastic
|
the percentage change in quantity is equal to that in price
|
|
|
B=
|
=m=f'(a)
|
|
|
A=
|
b=f(a)-f'(a)*a
|
