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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, 4)

Plug

x = 1

into

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

Minimum (1, 0)

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

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