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Popular >

extreme 300x-4x^3

Solution

extreme points

300 x - 4 x^{3}

Solution

Minimum (- 5, - 1000), Maximum (5, 1000)

Solution steps

f^{'} (x) = 300 - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = - 5

into

300 x - 4 x^{3} : - 1000

Minimum (- 5, - 1000)

Plug

x = 5

into

300 x - 4 x^{3} : 1000

Maximum (5, 1000)

Minimum (- 5, - 1000), Maximum (5, 1000)

Popular Examples

extreme x^3+12x^2-27x+2 extreme points

x^{3} + 12 x^{2} - 27 x + 2

extreme f(x)=x^3-9x^2+15x-4 extreme points

f (x) = x^{3} - 9 x^{2} + 15 x - 4

extreme P(x,y)=3x^2y+4xy^2-y^{-4}extreme points

P (x, y) = 3 x^{2} y + 4 x y^{2} - y^{- 4}

extreme f(x)=(x+10)((60)/x+6)extreme points

f (x) = (x + 10) (\frac{60}{x} + 6)

extreme f(x)= 1/2 x^4-4x^2+5 extreme points

f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 5

Frequently Asked Questions (FAQ)

What is the extreme 300x-4x^3 ?
The extreme 300x-4x^3 is Minimum(-5,-1000),Maximum(5,1000)