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Popular >

extreme x^3+15x^2

Solution

extreme points

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

Solution

Maximum (- 10, 500), Minimum (0, 0)

Solution steps

f^{'} (x) = 3 x^{2} + 30 x

Find intervals:

Increasing

: - \infty < x < - 10,

Decreasing

: - 10 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 10

into

x^{3} + 15 x^{2} : 500

Maximum (- 10, 500)

Plug

x = 0

into

x^{3} + 15 x^{2} : 0

Minimum (0, 0)

Maximum (- 10, 500), Minimum (0, 0)

Popular Examples

extreme f(x)=60x^4-60x^3-60x^2 extreme points

f (x) = 60 x^{4} - 60 x^{3} - 60 x^{2}

extreme f(x)=(5x)/((3x-2)^2)extreme points

f (x) = \frac{5 x}{( 3 x - 2 ) ^{2}}

extreme f(x)=(-16+2x)(39/2-x)x extreme points

f (x) = (- 16 + 2 x) (\frac{39}{2} - x) x

extreme-2x^3+3x^2-9x+9 extreme points

- 2 x^{3} + 3 x^{2} - 9 x + 9

extreme f(x,y)=xy^3+5xy^2+2x+1 extreme points

f (x, y) = x y^{3} + 5 x y^{2} + 2 x + 1

Frequently Asked Questions (FAQ)

What is the extreme x^3+15x^2 ?
The extreme x^3+15x^2 is Maximum(-10,500),Minimum(0,0)