IMathAS-libretexts

Find the values of

\displaystyle {x}

\displaystyle {y}

and

\displaystyle {z}

that correspond to the critical point of the function

\displaystyle {z}={f{{\left({x},{y}\right)}}}={3}{x}^{{2}}+{7}{x}-{6}{y}+{4}{y}^{{2}}

:

Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4).

\displaystyle {x}

\displaystyle {y}

\displaystyle {z}