Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let and
. Then, the given equation is essentially
. Thus, we can use the chain rule.
Recall the chain rule: . So, let's find the derivative of each function:
We can use the Power Rule here:
Now:
Again, use the Power Rule and Sum Rule
Now, we can put them together:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at
We have to look at the definition, and see which definition includes . The equal sign at
is on the second definition, that is:
Thus, at , the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003