Karteikarten
Calc Finals
Karten in diesem Stapel (31)
- 1Cubic functions (4 characteristics, graph)1. observable I.P.
2. unbounded both direction
3.exhibit an observable extremum
4. two concavities - 2Logistic (4 characteristics, graph)1.observable I.p.
2.bounded
3.Two H.A.
4. limiting value
- 3Linear (5 characters)1. no concavity
2. constant ROC
3. unbounded in both directions
4. y-intercept
5. constant first difference
- 4Quadratic ( 3 characters)1.observable extremum
2.one type concavity
3. unbounded in one direction
- 5exponential (6 characters )1. one type of concavity
2.only positive outputs
3. one HA
4. constant percent change
5. bounded in one direction
6. constant percent difference
- 6Logarithimic (4 characters)1. one type of concavity usually CCD
2. only positive inputs
3.V.A.
4. unbounded
- 7compound interest formulaA(t)= P(1+r/n)^(nt)
- 8Continuous Compounding InterstA(t)= Pe^(rt)
- 9APY for. compound interest functionAPY= ((1+r/n)^(n)-1)100
- 10APY for continuous interest functionAPY=(e^r-1)100
- 11monthly, weekly, daily, hourly, minutes, seconds12,
52,
365,
8760
,52600,
31536000 - 12composition funtions(f o g)((x) = (f(g(x))
- 13product and quotient have to be what?h(x)=(f x g)(x)= f(x) x g(x)
h(x)=(f/g)(x)= f(x)/g(x)
The same input and compatible output - 14Constructions of addition and subtraction needs to have input and out the sameneeds to have input and out the same
- 15simple changef(b)-f(a)= outputs
- 16percentage.changef(b)-f(a)/f(a) x 100= percent
- 17ave rocf(b)-f(a)/b-a= outputs per input
- 18percentage ROCf'(a)/f(a) x 100 = percent per input
- 19Instantaneous ROC (numeric method)f'(a)= lim x approaching to a f(x)-f(a)/x-a
- 20Formal limit definition of derivf'(x)= lim h approaching to zero f(x+h)-f(x)/h
- 21(x+h)^2 (x+h)^3x^2+xh+h^2
X^3+3x^2h+3xh^2+h^3 - 22e^(x) rule y=e^(ax)dy/dx= a'e^ax
- 23exponential rule y=b^(5x)dy/dx= ln(b) (b^5x))(5')
- 24log rule y=lnxdy/dx=1/x
- 25product rulef'(x)g(x)+f(x)g'(x)
- 26quotient rulef'(x)g(x)-f(x)g'(x)/ (g(x))^2
- 27finding rapid increase or decrease1. on Y2, plug in nDeriv (math to 8)
2.Graph only Y2
3. use calc to find maxi or min - 28finding relative extreme (ip)f'(x)= changes sign (+/-) is max and CCD
f'(x)= changes sign (-/+) is min and CCU
graph the original function and find max or min
or
plug nDeriv on Y2 and use Y2-0 Math solver - 29If f(x) is HTL and IP what happens to f' and f''f'(x)=0
IP: f'(x)= show max or min
ip; f''=0 - 30If f is ccu or ccd what happens first and second derivccu: first ( increasing) second (positive)
ccd: first (decreasing) second (negative) - 31original function is increasing or decreasing what happens to f'(x) and f''(x)increasing: first will be positive
decreasing: first will be negative
Informationen
- Beschreibung
- reviews 6 different functions, interest formulas, APY, Constructions of functions, percent change, numeric, and algebraically method.
- Erstellt von
- Alice Sohn
- Aufrufe
- 1
- Bewertung