Find the derivatives of each of the following functions :
`f(x)=7`

Answer

To find the derivative of the function \( f(x) = 7 \), we can follow these steps:

### Step 1: Identify the function
The given function is a constant function:
\[ f(x) = 7 \]

### Step 2: Recall the derivative of a constant
The derivative of any constant is always zero. This is a fundamental rule in calculus. Mathematically, we can express this as:
\[ \frac{d}{dx}(c) = 0 \quad \text{for any constant } c \]

### Step 3: Apply the rule
Since \( f(x) = 7 \) is a constant, we can directly apply the rule:
\[ f'(x) = 0 \]

### Conclusion
Thus, the derivative of the function \( f(x) = 7 \) is:
\[ f'(x) = 0 \]

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