Question

1. if f(x) = e^e, which of the following is f(x)? (a)e^e (b)e^e + 1 (c)0 (d)e (e)e^e - 1

Explanation:

Step1: Identify the function type

The function \( f(x) = e^e \) is a constant function because \( e \) is a constant (Euler's number, approximately \( 2.71828 \)), so \( e^e \) is also a constant.

Step2: Recall the derivative of a constant function

The derivative of a constant function \( f(x) = C \) (where \( C \) is a constant) is given by the rule \( \frac{d}{dx}(C)=0 \).

Since \( e^e \) is a constant, applying this rule, we get \( f'(x) = 0 \).

Answer:

\( \boldsymbol{0} \) (corresponding to option C)