What is the extreme f(x)=sqrt(144-x^2) ?

The extreme f(x)=sqrt(144-x^2) is Minimum(-12,0),Maximum(0,12),Minimum(12,0)

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extreme f(x)=sqrt(144-x^2)

extreme

Minimum (- 12, 0), Maximum (0, 12), Minimum (12, 0)

Solution steps

f^{'} (x) = - \frac{x}{144 - x ^{2}}

Find intervals:

Increasing

: - 12 < x < 0,

Decreasing

: 0 < x < 12

Plug

x = - 12

into

144 - x^{2} : 0

Minimum (- 12, 0)

Plug

x = 0

into

144 - x^{2} : 12

Maximum (0, 12)

Plug

x = 12

into

144 - x^{2} : 0

Minimum (12, 0)

Minimum (- 12, 0), Maximum (0, 12), Minimum (12, 0)

What is the extreme f(x)=sqrt(144-x^2) ?
The extreme f(x)=sqrt(144-x^2) is Minimum(-12,0),Maximum(0,12),Minimum(12,0)