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What is local maxima/minima in differentiation and calculus?

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What is local maxima/minima in differentiation and calculus?
in Mathematics by ♦ Platinum (131,840 points) | 94 views

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A necessary condition that a differentiable function \(f(x)\) has a local maximum (minimum) at \(x=c\), that is, \(f(x) \leq f(c),(f(x) \geq f(c))\) in a neighborhood \(c-\delta \leq x \leq c+\delta(\) \(\delta>0\) ) of \(c\), is \(f^{\prime}(c)=0\).
by ♦ Platinum (131,840 points)

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