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Popular >

extreme f(x)=x^3-3x+6

Solution

extreme points

f (x) = x^{3} - 3 x + 6

Solution

Maximum (- 1, 8), Minimum (1, 4)

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 + 6 : 8

Maximum (- 1, 8)

Plug

x = 1

into

x^{3} - 3 x + 6 : 4

Minimum (1, 4)

Maximum (- 1, 8), Minimum (1, 4)

Popular Examples

domain of f(x)=x^3+17x^2-80x+100 domain

f (x) = x^{3} + 17 x^{2} - 80 x + 100

domain of (sqrt(2x))/(5x-6)domain

\frac{2 x}{5 x - 6}

domain of f(x)=x^3+4 domain

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

slope ofintercept y-(-4)=-2(x+1)slope intercept

y - (- 4) = - 2 (x + 1)

critical f(x)=-x^2-2x-2 critical points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x+6 ?
The extreme f(x)=x^3-3x+6 is Maximum(-1,8),Minimum(1,4)