AP Calculus Flashcards

Stuff I should know

9643928541	d/dx (x^2)	2x	0
9643928542	d/dx (sin x)	cos x	1
9643928543	d/dx (cos x)	-sin x	2
9643928544	d/dx (tan x)	(sec x)^2	3
9643928545	d/dx (cot x)	-(csc x)^2	4
9643928546	d/dx (sec x)	(sec x)(tan x)	5
9643928547	d/dx (csc x)	-(csc x)(cot x)	6
9643928548	d/dx (e^x)	e^x	7
9643928549	d/dx (ln x)	1/x	8
9643928550	Log A + Log B	Log (AB)	9
9643928551	Log A - Log B	Log (A/B)	10
9643928552	k Log A	Log (A^k)	11
9643928553	Point-slope form of a line	y-y1 = m (x-x1)	12
9643928554	Product rule	d/dx (uv) = uv' + vu'	13
9643928555	Quotient rule	d/dx (u/v) = (vu'-uv')/(v^2)	14
9643928556	Rolle's Theorem	Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 somewhere in the interval).	15
9643928557	Mean Value Theorem	If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a)	16
9643928560	d/dx (x^3)	3x^2	17