Extremas of a Function

==2024-12-12

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Theory

To find Extremas of a function $f(x)$ in a given interval [a,b], we need to study about Fermat’s Theorem.

The extremas can occurs at Critical Points of a function.

So, $\forall x\in [a,b]f^{\prime }(x)=0$ or undefined.

The overall extremes are called Absolute Extremas in that range.

The Local Extremas are extremas except absolute extremas.

All critical point do not have a extreme value.

So we check interval ends, and all critical points for Extremas.

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Examples

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Implementation

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Q&A

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