Question

X^3+3xy^2-15x^2-15y^2+72x find extreme values

Answer 1

Step-by-step explanation:

Partial derivative = 0

$\frac{\delta \: f}{\delta \: x} = 3( {x}^{2} - 10x + {y}^{2} + 24) \\ \\ \frac{\delta \: f}{\delta \: y} =6(x - 5)y$

Solve for each case y=0 and x = 5

Critical points

( 4 , 0 ) , ( 6 ,0 )

corresponding values

local maxima = 112 and minima =108