Calculus Equation Sheet - 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 X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. 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. Web solve system of equations for x and y 3. Extrema relative (local) extrema x = c is a relative (or local). Web x!1 except we require x large and negative. X c is an absolute minimum of f x if f ( c ) £ f ( x ) for all x in the domain. Find all (x,y) points such that rf. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Plug back into original equation for z.
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. 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 Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Extrema relative (local) extrema x = c is a relative (or local). X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. Web x!1 except we require x large and negative. X c is an absolute minimum of f x if f ( c ) £ f ( x ) for all x in the domain. Web solve system of equations for x and y 3. Find all (x,y) points such that rf. Plug back into original equation for z.