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Popular >

extreme x^3+6x^2-15x

Solution

extreme points

x^{3} + 6 x^{2} - 15 x

Solution

Maximum (- 5, 100), Minimum (1, - 8)

Solution steps

f^{'} (x) = 3 x^{2} + 12 x - 15

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 5

into

x^{3} + 6 x^{2} - 15 x : 100

Maximum (- 5, 100)

Plug

x = 1

into

x^{3} + 6 x^{2} - 15 x : - 8

Minimum (1, - 8)

Maximum (- 5, 100), Minimum (1, - 8)

Popular Examples

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

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extreme f(x)= 1/3 x^3-x extreme points

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

extreme f(x,y)=-3x^2-2xy-2y^2+400x+200y extreme points

f (x, y) = - 3 x^{2} - 2 x y - 2 y^{2} + 400 x + 200 y

Frequently Asked Questions (FAQ)

What is the extreme x^3+6x^2-15x ?
The extreme x^3+6x^2-15x is Maximum(-5,100),Minimum(1,-8)