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Popular >

extreme y=2+3x-x^3

Solution

extreme points

y = 2 + 3 x - x^{3}

Solution

Minimum (- 1, 0), Maximum (1, 4)

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

2 + 3 x - x^{3} : 0

Minimum (- 1, 0)

Plug

x = 1

into

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

Maximum (1, 4)

Minimum (- 1, 0), Maximum (1, 4)

Popular Examples

extreme f(x)=x^2+9x+9 extreme points

f (x) = x^{2} + 9 x + 9

extreme 6xy-x^2y-xy^2 extreme points

6 x y - x^{2} y - x y^{2}

extreme f(x)=2x^3-3x^2-72x+9,-4<= x<= 5 extreme points

f (x) = 2 x^{3} - 3 x^{2} - 72 x + 9, - 4 \leq x \leq 5

extreme f(x)=-3x^2+42x-141 extreme points

f (x) = - 3 x^{2} + 42 x - 141

extreme f(x)=x^2+9x-2 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme y=2+3x-x^3 ?
The extreme y=2+3x-x^3 is Minimum(-1,0),Maximum(1,4)