What is the extreme f(x)= 1/x ,-1<= x<= 1 ?

The extreme f(x)= 1/x ,-1<= x<= 1 is Maximum(-1,-1),Minimum(1,1)

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extreme f(x)= 1/x ,-1<= x<= 1

extreme points

f (x) = \frac{1}{x}, - 1 \leq x \leq 1

Maximum (- 1, - 1), Minimum (1, 1)

Solution steps

Find the critical points:

x = - 1, x = 1

Domain of

\frac{1}{x}, - 1 \leq x \leq 1 : - 1 \leq x < 0 or 0 < x \leq 1

Find intervals:

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1

Plug the extreme point

x = - 1

into

\frac{1}{x} \Rightarrow y = - 1

Maximum (- 1, - 1)

Plug the extreme point

x = 1

into

\frac{1}{x} \Rightarrow y = 1

Minimum (1, 1)

Maximum (- 1, - 1), Minimum (1, 1)

f (x, y) = x^{2} - 4 x + 2 y^{2} + 4 y + 7

y = - 2 cos (x)

f (x, y) = 2 - x^{2} - 3 y^{2}

f (x y) = 2 x y^{3} - 2 x^{2} y

f (x) = e^{6 x^{2} + 5 y^{2} + 7}

What is the extreme f(x)= 1/x ,-1<= x<= 1 ?
The extreme f(x)= 1/x ,-1<= x<= 1 is Maximum(-1,-1),Minimum(1,1)