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Popular >

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

Solution

extreme points

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

Solution

Minimum (- 4, - 29), Maximum (0, 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 4

into

- x^{3} - 6 x^{2} + 3 : - 29

Minimum (- 4, - 29)

Plug

x = 0

into

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

Maximum (0, 3)

Minimum (- 4, - 29), Maximum (0, 3)

Popular Examples

extreme f(x)=(69120)/x+(69120)/y+5xy extreme points

f (x) = \frac{69120}{x} + \frac{69120}{y} + 5 x y

extreme f(x)=x^{2/3}(x+1)extreme points

f (x) = x^{\frac{2}{3}} (x + 1)

extreme f(x)=x^2+4x((4000)/(x^2))extreme points

f (x) = x^{2} + 4 x (\frac{4000}{x ^{2}})

extreme f(x)=(1)^{1/3}*(-9)extreme points

f (x) = (1)^{\frac{1}{3}} \cdot (- 9)

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

f (x) = - 2 x^{2} - x

Frequently Asked Questions (FAQ)

What is the extreme-x^3-6x^2+3 ?
The extreme-x^3-6x^2+3 is Minimum(-4,-29),Maximum(0,3)