What is the extreme sqrt(36-x^2)-sqrt(x+3) ?

The extreme sqrt(36-x^2)-sqrt(x+3) is Maximum(-3,3sqrt(3)),Minimum(6,-3)

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extreme sqrt(36-x^2)-sqrt(x+3)

extreme

Maximum (- 3, 33), Minimum (6, - 3)

Solution steps

Find the critical points:

x = - 3, x = 6

Domain of

36 - x^{2} - x + 3 : - 3 \leq x \leq 6

Find intervals:

Decreasing

: - 3 < x < 6

Plug the extreme point

x = - 3

into

36 - x^{2} - x + 3 \Rightarrow y = 33

Maximum (- 3, 33)

Plug the extreme point

x = 6

into

36 - x^{2} - x + 3 \Rightarrow y = - 3

Minimum (6, - 3)

Maximum (- 3, 33), Minimum (6, - 3)

What is the extreme sqrt(36-x^2)-sqrt(x+3) ?
The extreme sqrt(36-x^2)-sqrt(x+3) is Maximum(-3,3sqrt(3)),Minimum(6,-3)