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Popular Functions >

extreme 1/(t^3+2)

Solution

extreme

Solution

Saddle (0, \frac{1}{2})

Solution steps

Find the critical points:

t = 0

Domain of

\frac{1}{t ^{3} + 2} : t < - 32 or t > - 32

Find intervals:

Decreasing

: - \infty < t < - 32,

Decreasing

: - 32 < t < 0,

Decreasing

: 0 < t < \infty

Plug the extreme point

x = 0

into

\frac{1}{t ^{3} + 2} \Rightarrow y = \frac{1}{2}

Saddle (0, \frac{1}{2})

Graph

Popular Examples

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extreme 4x^2-8x^4

extreme f(x)=(x^2(x-1))/(x+2),x\ne 2

extreme f(x)=9x^3+21x^2+8x-3

Frequently Asked Questions (FAQ)

What is the extreme 1/(t^3+2) ?
The extreme 1/(t^3+2) is Saddle(0, 1/2)