Calculus Cheat Sheet - Department of Mathematics
math.colorado.edu › Calculus_Cheat_Sheet_AllDerivatives Definition and Notation If y= fx( ) then the derivative is defined to be ( ) ( ) 0 lim h fxhfx fx fi h +-¢= . If y= fx( ) then all of the following are equivalent notations for the derivative. f()xydfdyd(f()x)Dfx() dxdxdx ¢¢===== If y= fx( )all of the following are equivalent notations for derivative evaluated at xa= . () xa xaxa dfdy fayDfa = dxdx == ¢¢====
Calculus Formulas CALCULUS
www.tamucc.edu › calculus-formula-sheet2nd Derivative Test If x = c is a critical point of f (x) such that f '(c) = 0 then x = c is a relative maximum off (x) if f "(c) < 0. 2. is a relative minimum off (x) if f "(c) > 0. 3. may be a relative maximum, relative minimum, or neither if f "(c) = 0 . Common Integrals V clx = kx+c Idx=lnlxl+c L In c uln (u) —u + c ax +1) on u du =
AP Calculus Formula List - Math Tutoring with Misha
mathtutoringwithmisha.com › Calculus-FormulasAP Calculus Formula List Math by Mr. Mueller Page 1 of 6 AP CALCULUS FORMULA LIST 1 Definition of e: lim 1 n n e →∞ n = + _____ 0 Absolute Value: 0 x if x x x if x ≥ = − < _____ ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Definition of the Derivative: ' lim ' lim ' lim ' lim x h h x a f x x f x f x h f x f x f x x h f a h f a f a derivative at x a h f x f a f x alternate form x a ∆ →∞ →∞ →∞ → ∆ ∆