Other Flashcards
What is cos(pi)
-1
What is the definition of a derivative
quadratic formula
Taylor polynomial formula
Mclaurin polynomial formula
what is a mclaurin polynomial
centered at a=0
how to evaluate arc derivatives
1) arc(#) is the same as sin/cos/tan(theta)=0
2) figure out at what angle this is true (look at x and y coordinates)
3) convert that angle to rads
domain of arctan
-90-90 degrees
domain of arcsin
0-180 degrees
domain of arccos
0-180 degrees
do all h’s have to cancel when using the limits formula (and what do you do)
No, just plug in 0 for h AFTER you get some h’s to cancel
Sin finger rule
Cos finger rule
Tan finger rule
How to solve a Taylor Polynomial
1) evaluate f(a)
2) evauate all needed derivatives (2nd degree, 3rd degree…)
3)evaluate f(a) at all derivatives
4) plug values into Taylor polynomial formula and simplify
How to use Taylor polynomials to approximate
1) determine simplified formula for Taylor polynomial
2)plug given numbers form question into the x value and simplify
What is the ONLY difference in the solving process for Mcluarin polynomials
different formula
