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Popular >

extreme-x^3+3x-4

Solution

extreme points

- x^{3} + 3 x - 4

Solution

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

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

Minimum (- 1, - 6)

Plug

x = 1

into

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

Maximum (1, - 2)

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

Popular Examples

extreme y=(x^2-4)extreme points

y = (x^{2} - 4)

extreme f(x,y)=(y-x^2)*e^{-2y}extreme points

f (x, y) = (y - x^{2}) \cdot e^{- 2 y}

extreme f(x)=e^{x-y}*(x^2-2y^2)extreme points

f (x) = e^{x - y} \cdot (x^{2} - 2 y^{2})

extreme f(xy)=2x+3y-7 extreme points

f (x y) = 2 x + 3 y - 7

extreme f(x)=2x^3+3x+10 extreme points

f (x) = 2 x^{3} + 3 x + 10

Frequently Asked Questions (FAQ)

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