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Popular Functions >

extreme f(x)=x^3-3x+4

Solution

extreme points

f (x) = x^{3} - 3 x + 4

Solution

Maximum (- 1, 6), Minimum (1, 2)

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 + 4 : 6

Maximum (- 1, 6)

Plug

x = 1

into

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

Minimum (1, 2)

Maximum (- 1, 6), Minimum (1, 2)

Graph

Popular Examples

intercepts of f(x)=2x^2-5x+7

in t erce pt s f (x) = 2 x^{2} - 5 x + 7

domain of f(x)=sqrt(4x-5)

d o main f (x) = 4 x - 5

inverse of y=2x-9

in v erse y = 2 x - 9

inverse of f(x)=9t+6

in v erse f (x) = 9 t + 6

inverse of f(x)=(3x+6)/(x^2+9)

in v erse f (x) = \frac{3 x + 6}{x ^{2} + 9}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x+4 ?
The extreme f(x)=x^3-3x+4 is Maximum(-1,6),Minimum(1,2)