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Popular >

extreme 4x^3+96x^2

Solution

extreme points

4 x^{3} + 96 x^{2}

Solution

Maximum (- 16, 8192), Minimum (0, 0)

Solution steps

f^{'} (x) = 12 x^{2} + 192 x

Find intervals:

Increasing

: - \infty < x < - 16,

Decreasing

: - 16 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 16

into

4 x^{3} + 96 x^{2} : 8192

Maximum (- 16, 8192)

Plug

x = 0

into

4 x^{3} + 96 x^{2} : 0

Minimum (0, 0)

Maximum (- 16, 8192), Minimum (0, 0)

Graph

Popular Examples

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f (x) = x^{2} + 8 x + 15

extreme (x-2)(x^2-4x-8)extreme points

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

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

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f (x, y) = x^{5} + 3 x^{3} y^{2} + 3 x y^{4}

Frequently Asked Questions (FAQ)

What is the extreme 4x^3+96x^2 ?
The extreme 4x^3+96x^2 is Maximum(-16,8192),Minimum(0,0)