AP Calculus AB Formulas Flashcards

9904734429	Definition of Derivative		0
9904734430	Definition of Derivative at x = a		1
9904734431	Volume using Disks		2
9904734432	Volume using Washers		3
9904734433	Volume of Cross-Sections		4
9904734439	The particle is slowing down		5
9904734440	The particle is speeding up		6
9904734441	Total distance traveled		7
9904734442	Average value of a function		8
9904734443	Displacement		9
9904734444	Average rate of change or average velocity		10
9904734493	True	~True or False	11
9904734445	Fundamental Theorem of Calculus		12
9904734446	(x')f(x)		13
9904734447	\|velocity\|		14
9904734448	vertical asymptote		15
9904734449	hole		16
9904734450	slope		17
9904734451	concavity	sign of	18
9904734452	Critical Points		19
9904734453	Possible Inflection Points		20
9904734454	nx^(n-1)		21
9904734455	Product Rule		22
9904734456	Quotient Rule		23
9904734457	e^x		24
9904734458	1/x		25
9904734459	1/(xlna)		26
9904734460	a^x∙lna		27
9904734461	Chain Rule		28
9904734462	cosx		29
9904734463	-sinx		30
9904734464	(secx)^2		31
9904734465	-(cscx)^2		32
9904734466	-cscxcotx		33
9904734467	secxtanx		34
9904734468	1/[f'(f^(-1)(a))]		35
9904734469	d/dx arcsin u		36
9904734470	d/dx arccos u		37
9904734471	d/dx arctan u		38
9904734472	d/dx arccot u		39
9904734473	d/dx arcsec u		40
9904734474	d/dx arccsc u		41
9904734475	x^(n+1)/(n+1) + C		42
9904734476	e^u + C		43
9904734477	(a^u)/lna + C		44
9904734478	ln\|u\| + C		45
9904734479	-cosu + C		46
9904734480	sinu + C		47
9904734481	-ln\|cosu\| + C		48
9904734485	tanu + C		49
9904734486	-cotu + C		50
9904734487	secu + C		51
9904734488	-cscu + C		52
9904734489	arcsin(u/a) + C		53
9904734490	(1/a)arctan(u/a) + C		54
9904734491	(1/a)arcsec(\|u\|/a) + C		55
9904795498	Intermediate Value Theorem		56
9904798314	Mean Value Theorem		57
9904801198	Equation of a tangent line		58
9904834139	Justify approximation of Riemann Sum	Use increasing or decreasing	59
9904835177	Justify approximation of Trapezoidal Sum	Use concavity	60
9904902991	Where is a function not differentiable?	Cusp, corner, vertical tangent line, and discontinuity.	61
9904919919	Solving Differential Equations	1. Separate Variables 2. Integrate both sides (add +C on one side) 3. Use Initial Condition 4. Solve for y	62
9904928822	Horizontal Asymptote		63
9904982890	L'Hopital's Rule		64
9905016925	Finding Absolute Min or Max	1. Find critical points 2. Evaluate ORIGINAL FUNCTION at endpoints and critical points (Absolute Min & Max guaranteed by Extreme Value Theorem)	65