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Popular Functions >

extreme f(x)=x^3-3x+7

Solution

extreme

Solution

Maximum (- 1, 9), Minimum (1, 5)

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 + 7 : 9

Maximum (- 1, 9)

Plug

x = 1

into

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

Minimum (1, 5)

Maximum (- 1, 9), Minimum (1, 5)

Graph

Popular Examples

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extreme f(x)=4x^5-8x^4-5x^3+10x^2+x-2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x+7 ?
The extreme f(x)=x^3-3x+7 is Maximum(-1,9),Minimum(1,5)