Question

F(x)=1/2(x-1)^2 + 1 как решить?

Answer 1

F(x)=1/2(x^2-2x+1)+1
F(x)=(x^2)/2-2x/2+1/2+1
F(x)=(x^2-2x+1+2)/2
F(x)=(x^2-2x+3)/2
Это максимум, что с этим можно сделать)

Answer 2

To solve the equation $F(x) = \frac{1}{2}(x-1)^2 + 1$, you need to specify what you want to solve for.

If you want to find the critical points (where the derivative is equal to zero), you can do the following:

Step 1: Find the derivative of $F(x)$: $F'(x) = \frac{d}{dx}\left(\frac{1}{2}(x-1)^2 + 1\right)$

Step 2: Set the derivative equal to zero and solve for $x$ to find the critical points: $F'(x) = 0$

Step 3: Once you find the critical points, you can determine if they are minimum, maximum, or saddle points by using the second derivative test.

If you want to find the x-intercepts (where $F(x) = 0$), you can set $F(x)$ equal to zero and solve for $x$: $F(x) = 0$

If you have a specific question about the equation or a particular task you want to accomplish with it, please let me know, and I'll be happy to assist you further.