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Popular >

extreme 2x^3-24x-1

Solution

extreme points

2 x^{3} - 24 x - 1

Solution

Maximum (- 2, 31), Minimum (2, - 33)

Solution steps

f^{'} (x) = 6 x^{2} - 24

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x^{3} - 24 x - 1 : 31

Maximum (- 2, 31)

Plug

x = 2

into

2 x^{3} - 24 x - 1 : - 33

Minimum (2, - 33)

Maximum (- 2, 31), Minimum (2, - 33)

Popular Examples

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f (x) = \frac{4}{x ^{2} - 4 x + 3}

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

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8 x^{4} - 8 x^{2} + 1

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\frac{x ^{2} - 2 x + 1}{x ^{3} - 3 x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme 2x^3-24x-1 ?
The extreme 2x^3-24x-1 is Maximum(-2,31),Minimum(2,-33)