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Popular >

extreme f(x)=-x^3+27-61

Solution

extreme points

f (x) = - x^{3} + 27 - 61

Solution

Saddle (0, - 34)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

- x^{3} + 27 - 61 : - 34

Saddle (0, - 34)

Popular Examples

extreme f(x,y)=x^3+3xy^2+xy^3-5y-4 extreme points

f (x, y) = x^{3} + 3 x y^{2} + x y^{3} - 5 y - 4

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f (x, y) = 2 x^{4} - x^{2} + 3 y^{2}

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extreme f(x)=3x+9/2 x^2-54x+1 extreme points

f (x) = 3 x + \frac{9}{2} x^{2} - 54 x + 1

extreme Z(x)=2x_{1}+5x_{2}extreme points

Z (x) = 2 x_{1} + 5 x_{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^3+27-61 ?
The extreme f(x)=-x^3+27-61 is Saddle(0,-34)