A set of Megasus Horserunners is 159 euros. At an exchange rate of 1 euro = 1.16 dollars, what’s that in U.S dollars?
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Answer: Ok, i will use the hint provided.
We call x1 and x2 to te two mínima of f, that is .
The convexity condition says that, if f is differentiable, then the graph of f(x) lays above all the tangents between X and Y, if Y>X then
where
.
then, if we took Y = x1 and X = x2, we have because f'(x2) = 0.
now if we took Y = x2 and X = x1, we have because f'(x1) = 0.
Then, x1 = x2. Which implies that we only have one minima.