Math Is Fun Forum

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 245

F(x) Having no Local Limits

We have f(x) = A*x^3 + B*x^2 + C*x + D
What is the condition to be satisfied by the parameters A, B, C and D for f(x) doesn’t have local high and low limits?

Last edited by KerimF (2023-11-23 19:38:34)

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Bob

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Re: F(x) Having no Local Limits

Bob

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KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 245

Re: F(x) Having no Local Limits

I thought that such exercise is for students, not teachers

Anyway, I guess you meant by your last line that the condition to be satisfied by the parameters A, B, C and D for f(x) doesn’t have local high and low limits is:
B^2 - 3*A*C ≤ 0
And the parameter (D) may have any value.

Thank you.

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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.