Physics with Calculus useful equations, pt 2. From my "cheat sheet
Calculus Equation Sheet. X c is an absolute minimum of f x if f ( c ) £ 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.
Physics with Calculus useful equations, pt 2. From my "cheat sheet
X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. Extrema relative (local) extrema x = c is a relative (or local). 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 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. Web solve system of equations for x and y 3.
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 x!1 except we require x large and negative. Web solve system of equations for x and y 3. 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. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Find all (x,y) points such that rf. Extrema relative (local) extrema x = c is a relative (or local). X c is an absolute minimum of f x if f ( c ) £ 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 X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain.
