Find the derivatives of the following (1-3) functions :
f(x) = a

Answer

To find the derivative of the function \( f(x) = a \), where \( a \) is a constant, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the function**: We have \( f(x) = a \). Here, \( a \) is a constant.

2. **Recall the definition of the derivative**: The derivative of a function \( f(x) \) at a point \( x \) is defined as:
\[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \]

3. **Substitute the function into the derivative formula**:
\[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} = \lim_{h \to 0} \frac{a - a}{h} \]

4. **Simplify the expression**:
\[ f'(x) = \lim_{h \to 0} \frac{0}{h} = \lim_{h \to 0} 0 = 0 \]

5. **Conclusion**: Therefore, the derivative of the function \( f(x) = a \) is:
\[ f'(x) = 0 \]

### Final Answer:
The derivative \( f'(x) \) of the function \( f(x) = a \) is \( 0 \).