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Popular >

extreme-x^3+3x+7

Solution

extreme points

- x^{3} + 3 x + 7

Solution

Minimum (- 1, 5), Maximum (1, 9)

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 + 7 : 5

Minimum (- 1, 5)

Plug

x = 1

into

- x^{3} + 3 x + 7 : 9

Maximum (1, 9)

Minimum (- 1, 5), Maximum (1, 9)

Graph

Popular Examples

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

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f (x, y) = e^{- 5 x - 5 y}

extreme f(x,y)=2y-1/5 xy extreme points

f (x, y) = 2 y - \frac{1}{5} x y

extreme f(a,p)=x^3+y^3-24xy extreme points

f (a, p) = x^{3} + y^{3} - 24 x y

extreme f(x)=(7x+y)^2+2y+900 extreme points

f (x) = (7 x + y)^{2} + 2 y + 900

Frequently Asked Questions (FAQ)

What is the extreme-x^3+3x+7 ?
The extreme-x^3+3x+7 is Minimum(-1,5),Maximum(1,9)