Calculus Equation Sheet - X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. Web l'hospita1' if lim lim s rule o or lim then, = lim a is a number, or lim f (x) = lim f (x) (þt lim f (x) does not exist inflection points x=c is a inflection point of f (x) if the Find all (x,y) points such that rf. X c is an absolute minimum of f x if f ( c ) £ f ( x ) for all x in the domain. Plug back into original equation for z. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Web x!1 except we require x large and negative. Extrema relative (local) extrema x = c is a relative (or local). Web solve system of equations for x and y 3. We say lim f(x) = 1 if we can x!a make f(x) arbitrarily large (and positive) by taking x sufficiently close to a (on either side of a) without letting x = a.
Find all (x,y) points such that rf. Web l'hospita1' if lim lim s rule o or lim then, = lim a is a number, or lim f (x) = lim f (x) (þt lim f (x) does not exist inflection points x=c is a inflection point of f (x) if the Web solve system of equations for x and y 3. Extrema relative (local) extrema x = c is a relative (or local). We say lim f(x) = 1 if we can x!a make f(x) arbitrarily large (and positive) by taking x sufficiently close to a (on either side of a) without letting x = a. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. X c is an absolute minimum of f x if f ( c ) £ f ( x ) for all x in the domain. Web x!1 except we require x large and negative. X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. Plug back into original equation for z.