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Popular >

extreme f(x)=4-3x^3

Solution

extreme points

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

Solution

Saddle (0, 4)

Solution steps

f^{'} (x) = - 9 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

4 - 3 x^{3} : 4

Saddle (0, 4)

Popular Examples

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

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

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f (x) = 9 x - (5 x) ln (x), (0, \infty)

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

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

extreme f(x)=y^5-3xy extreme points

f (x) = y^{5} - 3 x y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4-3x^3 ?
The extreme f(x)=4-3x^3 is Saddle(0,4)