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Question Number 67382 by Mikael last updated on 26/Aug/19

calculate if there are maxims and minimus of  the following function:  y= { ((x^2 +1 if x⪇1)),((−x+4 if x≥1)) :}

$${calculate}\:{if}\:{there}\:{are}\:{maxims}\:{and}\:{minimus}\:{of} \\ $$$${the}\:{following}\:{function}: \\ $$$${y}=\begin{cases}{{x}^{\mathrm{2}} +\mathrm{1}\:{if}\:{x}\lneq\mathrm{1}}\\{−{x}+\mathrm{4}\:{if}\:{x}\geqslant\mathrm{1}}\end{cases} \\ $$

Commented by mr W last updated on 26/Aug/19

Commented by mr W last updated on 26/Aug/19

local minimum at x=0

$${local}\:{minimum}\:{at}\:{x}=\mathrm{0} \\ $$

Commented by Mikael last updated on 26/Aug/19

thank you Sir.

$${thank}\:{you}\:{Sir}.\: \\ $$

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