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Popular >

extreme x^3-3x+4

Solution

extreme points

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)

Popular Examples

intercepts of y=-7x+3 intercepts

y = - 7 x + 3

y = x - 3

inflection f(x)=4x^3-6x^2+6x-9 inflection points

f (x) = 4 x^{3} - 6 x^{2} + 6 x - 9

slope ofintercept y=5 slope intercept

y = 5

inverse of (ln(x)+1)/(ln(x)-1)inverse

\frac{ln ( x ) + 1}{ln ( x ) - 1}

Frequently Asked Questions (FAQ)

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