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Popular >

extreme f(x)=2+3x-x^3

Solution

extreme points

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

Solution

Minimum (- 1, 0), Maximum (1, 4)

Solution steps

f^{'} (x) = - 3 x^{2} + 3

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

2 + 3 x - x^{3} : 0

Minimum (- 1, 0)

Plug

x = 1

into

2 + 3 x - x^{3} : 4

Maximum (1, 4)

Minimum (- 1, 0), Maximum (1, 4)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2+3x-x^3 ?
The extreme f(x)=2+3x-x^3 is Minimum(-1,0),Maximum(1,4)