4.7

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4.7

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Find all the critical points of the function f(x,y)=4x2−2y2+4x−7y+2. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list of point coordinates in the form (∗,∗),(∗,∗)…) Incorrect
Find the local maxima, local minima, and saddle points, if any, for the function z=5x3+5x2y+3y2. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (∗,∗,∗),(∗,∗,∗)… Enter DNE if the points do not exist.) lc
Find the local maxima, local minima, and saddle points, if any, for the function z=4x2+xy+y2−14x+2y+9. (Give your answer in the form (∗,∗). Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the points do not exist.) local min: local max: saddle points:
Find the local maxima, local minima, and saddle points, if any, for the function z=4x3−60xy+4y3. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (∗,∗,∗),(∗,∗,∗)… Enter DNE if the points do not exist.) local min: local max: saddle points:
Find the local maxima, local minima, and saddle points, if any, for the function z=3x3−36xy−3y3. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (∗,∗,∗),(∗,∗,∗)… Enter DNE if the points do not exist.) local mir local max: saddle poin