What is the extreme x^3+x,-1<= x<= 2 ?

The extreme x^3+x,-1<= x<= 2 is Minimum(-1,-2),Maximum(2,10)

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extreme x^3+x,-1<= x<= 2

extreme

Minimum (- 1, - 2), Maximum (2, 10)

Solution steps

Find the critical points:

x = - 1, x = 2

Domain of

x^{3} + x, - 1 \leq x \leq 2 : - 1 \leq x \leq 2

Find intervals:

Increasing

: - 1 < x < 2

Plug the extreme point

x = - 1

into

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

Minimum (- 1, - 2)

Plug the extreme point

x = 2

into

x^{3} + x \Rightarrow y = 10

Maximum (2, 10)

Minimum (- 1, - 2), Maximum (2, 10)

What is the extreme x^3+x,-1<= x<= 2 ?
The extreme x^3+x,-1<= x<= 2 is Minimum(-1,-2),Maximum(2,10)