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Find the critical point(s) of $f(x, y)$.\\ $f(x,y) = x^2 + 3y^2 - 14x + 18y + 4$\\ f(x, y) has Choose one critical point(s) 

          Find the critical point(s) of $f(x, y)$.\\
$f(x,y) = x^2 + 3y^2 - 14x + 18y + 4$\\
f(x, y) has Choose one critical point(s)
Find the critical point(s) of f(x, y). f(x,y) = x^2 + 3y^2 - 14x + 18y + 4 f(x, y) has Choose one critical point(s)

Added by Thomas E.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the critical points of f(x, y) = x + 3y - 14x + 18y + 4.
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Transcript

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00:01 In the question it is given that f xy is equal to x cube plus y square minus 2xy plus 9 divide with 4.
00:13 Now f x is equals to 3x square minus 2y and f y is equals to 2y minus 2x.
00:26 Now f x is equals to 0 and fy is equals to 0.
00:31 So, we get 2y is equals to 2x and y is equals to x from here we get now 3x squared minus 2x is equal to 0 and x multiplied with 3x minus 2 is equal to 0.
00:50 Now x is equal to 0 and x is equals to 2 divide with 3.
00:55 Here putting x is equal to 0, y is equals to 0 and x is equal to 2 divide with 3 and y is equals to 2 divide with.
01:04 So, 0 comma 0 and 2 divide with 3 and 2 divide with 3 are critical points...
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