For each of the following functions, evaluate the derivative at the indicated value (s) :
`f(x)=3,x=0,3`

Answer

To evaluate the derivative of the function \( f(x) = 3 \) at the indicated values \( x = 0 \) and \( x = 3 \), we can follow these steps:

### Step 1: Identify the function
The given function is:
\[ f(x) = 3 \]
This is a constant function.

### Step 2: Understand the derivative of a constant function
The derivative of any constant function is always zero. This is because the slope of the tangent line to the graph of a constant function is zero at all points.

### Step 3: Calculate the derivative
Since \( f(x) = 3 \) is a constant function, we can express its derivative as:
\[ f'(x) = 0 \]
for all values of \( x \).

### Step 4: Evaluate the derivative at the indicated values
Now, we need to evaluate the derivative at \( x = 0 \) and \( x = 3 \):
\[ f'(0) = 0 \]
\[ f'(3) = 0 \]

### Final Answer
Thus, the derivative of the function \( f(x) = 3 \) at both \( x = 0 \) and \( x = 3 \) is:
\[ f'(0) = 0 \quad \text{and} \quad f'(3) = 0 \]