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Popular >

extreme x^3-27x+51

Solution

extreme points

x^{3} - 27 x + 51

Solution

Maximum (- 3, 105), Minimum (3, - 3)

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x + 51 : 105

Maximum (- 3, 105)

Plug

x = 3

into

x^{3} - 27 x + 51 : - 3

Minimum (3, - 3)

Maximum (- 3, 105), Minimum (3, - 3)

Popular Examples

extreme x^3-27x+57 extreme points

x^{3} - 27 x + 57

extreme f(x)=2x^3-6x^2+6x+1 extreme points

f (x) = 2 x^{3} - 6 x^{2} + 6 x + 1

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

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

extreme f(x)= 1/3 x^3-7/2 x^2+6x+1 extreme points

f (x) = \frac{1}{3} x^{3} - \frac{7}{2} x^{2} + 6 x + 1

extreme f(x,y)=e^{x^2+1}+e^{y^2+1}extreme points

f (x, y) = e^{x^{2} + 1} + e^{y^{2} + 1}

Frequently Asked Questions (FAQ)

What is the extreme x^3-27x+51 ?
The extreme x^3-27x+51 is Maximum(-3,105),Minimum(3,-3)