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calculate-if-there-are-maxims-and-minimus-of-the-following-function-y-x-2-1-if-x-1-x-4-if-x-1-




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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