AP CALCULUS FACTS Things you MUST know for the Exam!!! Created by Bryan Passwater.

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Presentation transcript:

AP CALCULUS FACTS Things you MUST know for the Exam!!! Created by Bryan Passwater

Derivative Facts For the following functions, state the derivative

Created by Bryan Passwater Derivative Facts If f(u) = sin(u) f’(u)= cos(u)∙u’

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts If f(u) = tan(u) f’(u)= sec²(u)∙u’

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts If f(u) = cos(u) f’(u)= -sin(u)∙u’

Created by Bryan Passwater Derivative Facts If f(u) = csc(u) f’(u)= -csc(u)cot(u)∙u’

Created by Bryan Passwater Derivative Facts If f(x) = g(h(x)) f’(x)= g’(h(x))∙h’(x)

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts If f(u) = sec(u) f’(u)= sec(u)tan(u)∙u’

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater If f(x) = u·v Derivative Facts f’(x)=u’∙v + v’∙u

Created by Bryan Passwater If f(u) = c c is a constant Derivative Facts f’(u)= 0

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts If f(u) =ln (u)

Created by Bryan Passwater Derivative Facts

Created by Bryan Passwater Derivative Facts If s(t) is position Then s’(t) =

Created by Bryan Passwater Derivative Facts If v(t) is velocity Then v’(t) =

Created by Bryan Passwater Integration Facts State the anti-derivative for the following indefinite integrals

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Integration Facts

Created by Bryan Passwater Important Theorems

Created by Bryan Passwater