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Suppose the cubic x^(3)-px+q has three d...

Suppose the cubic `x^(3)-px+q` has three distinct real roots, where `p gt 0` and `q gt 0`. Then which one of the following holds ?

A

The cubic has maxima at both `sqrt((p)/(3)) and -sqrt((p)/(3))`

B

The cubic has minima at `sqrt((p)/(3))` and maxima at `-sqrt((p)/(3))`

C

The cubic has minima at `-sqrt((p)/(3))` and maxima at `sqrt((p)/(3))`

D

The cubic has minima at both `sqrt((p)/(3)) and -sqrt((p)/(3))`.

Text Solution

Verified by Experts

The correct Answer is:
B
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