CALC BC EXAM PREP

Timeline created by anniebishai

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Event Date:	Event Title:	Event Description:
04/11/2011	Monday, April 11th	Review of stuff we need to know cold! I missed inverse trig derivatives on the timed quiz. d/dx[arcsinx] = 1/root(1-x^2) d/dx[arctanx] = 1/(1+x^2) d/dx[arcsecx] = 1/(abs val(x)root(x^2-1)) Derivatives of the respective cofunctions have -1 in the numerator.
04/12/2011	Second Fundamental Theorem of Calculus	d/dx [integral from a to x: f(t)dt] = f(x) Important details: -upper bound must have a different variable from integrand. (but upper bound variable matches function variable on other side) -if upper bound is a more complex function than x (such as x^2), use the chain rule! (ex: f(x^2) = 2xf(x^2)) ^^I think???
04/25/2011	Vertical asymptotes	Remember that to find vertical asymptotes, look at end behavior: limits as function approaches infinity and negative infinity. Also look for places where the function does not exist.
04/26/2011	indeterminate forms	0/0 infinity/infinity ininity-infinity 0infinity 1^infinity 0^0 infinity^0 **ZERO TO THE INFINITY EQUALS ZERO*** (but one to the infinity is indeterminate!)
04/27/2011	y=vx : variable change for homog. diffEQs	Dr. Chris Tisdell explains Homogeneous diffEQ is in the form of: M(x,y)dx + N(x,y)dy = 0, where M and N are homogeneous functions of the same degree. (means f(tx, ty) = t^nf(x,y)) **Separate the dx and the dy first! ...If diffEQ is homogenous, then you can make the substitution y=vx, which also means that dy = xdv +vdx. This will lead to a separable diffEQ, which you can solve in terms of v and then convert v's back into y/x.
04/28/2011	things to review...	I'm still uncomfortable with vectors. I need to review displacement, specifically. I also need to review area under a polar curve. I know that the formula is 1/2(integral from alpha to beta of the function squared), but finding the tangent lines where the function and its derivative are zero confuses me.
04/29/2011	LIPET	For integration by parts, choosing u: Logarithms Inverse trig Polynomials Exponentials Trig
05/02/2011	Know your stuff cold!	I know my inverse trig derivatives. What is Simpson's rule? >>a specific formula used for estimating area under a curve
05/03/2011	Day before the exam!	There will only be two non-calculator problems on the free response section. I can do this!