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AP Calculus Formula Quiz Flashcards

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9681327186Write the limit definition of a derivative.0
9681333980d/dx(sec x)1
9681338074State the Mean Value Theorem for Derivatives.2
9681345371State the Mean Value Theorem for Integrals.3
9681353547A function w has a point of inflection at x=c if w''changes signs at x=c.4
9681365905A function w has a point of inflection at x=c if w'changes directions at x=c.5
9681369505A function w has a point of inflection at x=c if wchanges concavity at x=c.6
9681384287If g is continuous at x=3 then according to the definition of continuity, lim(x->3+)(g(x))=lim(x->3-)(g(x)) = g(3)7
9681405856The integral from a to b of q'(t)dt isq(b) - q(a)8
9681414668The integral from a to b of q(t)dt isQ(b) - Q(a)9
9681419777The integral from a to b of q''(t) dt isq'(b) - q'(a)10
9681432287d/dx (the integral from a to x of q(t)dt) isq(x)11
9681440345The formula for total distance traveled by an object from t=a to t=b isThe integral from a to b of |v(t)|dt12
9681450917The formula for displacement of an object from t=a to t=b isThe integral from a to b of v(t)dt13
9681467106If the lim (x->3) (g(x)) exists, then lim(x->3+)(g(x)) =lim(x->3-)(g(x))14
9681481892A function f has a relative max at x=c if f'changes from positive to negative at x=c15
9681490378A function f has a relative min at x=c if f'changes from negative to positive at x=c16
9681494914A function f has a relative max at x=c if f''is negative at x=c AND f'=0 at x=c17
9681503405A function f has a relative min at x=c if f''is positive at x=c AND f'=0 at x=c18
9681512434d/dx(csc x) =19
9681515927d/dx(tan x) =20
9681525348d/dx (cot x) =21
9681536908The integral of cos x =sin x + C22
9681549401d/dx (-cos x) =sin x23
9681580802d/dx (arcsin x) =24
9681585414d/dx (arccos x) =25
9681588661d/dx (arctan x) =26
9681600757d/dx (f(x)g(x)) =27
9681606547d/dx (f(x)/g(x)) =28
9681611930d/dx (f(g(x))) =29
9681625217The formula for the tangent line at x=a isy-f(a) = f'(a)(x-a)30
9681646585Speed is increasing ifacceleration and velocity are both positive or both negative.31
9681649313Speed is decreasing ifacceleration and velocity have opposite signs.32
9681661314Average rate of change from a to b of f is(f(a)-f(b))/(a-b)33
9681666705Average value from a to b of f is1/(b-a) (the integral from a to b of f)34
9681684210Average rate of change of f from a to b given f'(x) is1/(b-a) (the integral from a to b of f'(x))35

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