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Popular Functions >

extreme f(x)=x^3-3x+5

Solution

extreme points

f (x) = x^{3} - 3 x + 5

Solution

Maximum (- 1, 7), Minimum (1, 3)

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

x^{3} - 3 x + 5 : 7

Maximum (- 1, 7)

Plug

x = 1

into

x^{3} - 3 x + 5 : 3

Minimum (1, 3)

Maximum (- 1, 7), Minimum (1, 3)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x+5 ?
The extreme f(x)=x^3-3x+5 is Maximum(-1,7),Minimum(1,3)