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Popular >

extreme x^3+3x^2+5

Solution

extreme points

x^{3} + 3 x^{2} + 5

Solution

Maximum (- 2, 9), Minimum (0, 5)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

x^{3} + 3 x^{2} + 5 : 9

Maximum (- 2, 9)

Plug

x = 0

into

x^{3} + 3 x^{2} + 5 : 5

Minimum (0, 5)

Maximum (- 2, 9), Minimum (0, 5)

Graph

Popular Examples

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f (x, y) = 4 + 7 x^{2} + 8 y^{2}

Frequently Asked Questions (FAQ)

What is the extreme x^3+3x^2+5 ?
The extreme x^3+3x^2+5 is Maximum(-2,9),Minimum(0,5)