What is the extreme f(x)=-7x^2-5y^2+14x+10y-2 ?

The extreme f(x)=-7x^2-5y^2+14x+10y-2 is Maximum(1,1)

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extreme f(x)=-7x^2-5y^2+14x+10y-2

extreme points

f (x) = - 7 x^{2} - 5 y^{2} + 14 x + 10 y - 2

Maximum (1, 1)

Solution steps

Find the critical points:

(1, 1)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 10

D (x, y) = 140

Check the sign of at each critical point

Check critical point

(1, 1) :

Maximum

Maximum (1, 1)

x^{4} + 8 x^{3} - 14 x^{2}

f (x) = 5 x^{2} - 30 x, 0 \leq x \leq 5

x \cdot e^{- x^{2}}

\frac{2 x + 4}{x ^{2} + 4}

f (x, y) = (5 x^{2} + 7 y^{2}) e^{- y}

What is the extreme f(x)=-7x^2-5y^2+14x+10y-2 ?
The extreme f(x)=-7x^2-5y^2+14x+10y-2 is Maximum(1,1)