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Popular >

extreme x^3-9x^2+4

Solution

extreme points

x^{3} - 9 x^{2} + 4

Solution

Maximum (0, 4), Minimum (6, - 104)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 0

into

x^{3} - 9 x^{2} + 4 : 4

Maximum (0, 4)

Plug

x = 6

into

x^{3} - 9 x^{2} + 4 : - 104

Minimum (6, - 104)

Maximum (0, 4), Minimum (6, - 104)

Popular Examples

extreme f(x,y)=x^3+y^3-6xy+27 extreme points

f (x, y) = x^{3} + y^{3} - 6 x y + 27

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

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

extreme f(x)=(100ln(x+2))/(x+2)extreme points

f (x) = \frac{100 ln ( x + 2 )}{x + 2}

extreme 3(e^{-0.8t}-e^{-1.2t})extreme points

3 (e^{- 0.8 t} - e^{- 1.2 t})

extreme f(x)=6x^2-8x+2 extreme points

f (x) = 6 x^{2} - 8 x + 2

Frequently Asked Questions (FAQ)

What is the extreme x^3-9x^2+4 ?
The extreme x^3-9x^2+4 is Maximum(0,4),Minimum(6,-104)