00:01
For this question, we find the minimizer of the two functions.
00:04
The first one, we need to get the derivative.
00:07
The first order derivative is given here.
00:11
So we need to use the chain rule, and then we get this here.
00:15
We make it zero, and we solve the equation.
00:18
We get the solution is exponential of 3x is equal to 2.
00:23
Then the root is x equals 1 over 3 times law in 2, which is between negative 1 and 1.
00:33
So this is the only critical point for this function.
00:36
And then we get the second order derivative evaluated at this critical point.
00:41
So we know that when this part evaluated at the critical point, this will be just equal to 0.
00:49
And then the first part is greater than 0 because exponential function is non -active...