3. Find all the extrema of the function $y=2^{x^{2}-2 x+3}$.
Solution: $y=2^{x^{2}-2 x+3}, y^{\prime}=2^{x^{2}-2 x+3} \ln 2(2 x-2)=0 \Rightarrow x=1$

![](https://cdn.mathpix.com/cropped/2024_05_06_8eeeb8d6ace591217257g-20.jpg?height=163&width=348&top_left_y=1112&top_left_x=1499)

Answer: $y_{\min }(1)=2^{2}=4$.