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AP Calculus Flashcards

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9643928541d/dx (x^2)2x0
9643928542d/dx (sin x)cos x1
9643928543d/dx (cos x)-sin x2
9643928544d/dx (tan x)(sec x)^23
9643928545d/dx (cot x)-(csc x)^24
9643928546d/dx (sec x)(sec x)(tan x)5
9643928547d/dx (csc x)-(csc x)(cot x)6
9643928548d/dx (e^x)e^x7
9643928549d/dx (ln x)1/x8
9643928550Log A + Log BLog (AB)9
9643928551Log A - Log BLog (A/B)10
9643928552k Log ALog (A^k)11
9643928553Point-slope form of a liney-y1 = m (x-x1)12
9643928554Product ruled/dx (uv) = uv' + vu'13
9643928555Quotient ruled/dx (u/v) = (vu'-uv')/(v^2)14
9643928556Rolle's TheoremLet 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
9643928557Mean Value TheoremIf 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
9643928560d/dx (x^3)3x^217

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