Questions: Question 7 True or False The derivative of f(x)=5 is f'(x)=0 True False

Solution Steps

To determine if the derivative of the constant function \( f(x) = 5 \) is \( f'(x) = 0 \), we need to recall that the derivative of any constant function is always zero.

We are given the function \( f(x) = 5 \), which is a constant function.

The derivative of a constant function is always zero. Therefore, we calculate: \[ f'(x) = 0 \]

From our calculation, we find that \( f' = 0 \). Thus, we confirm that: \[ f'(x) = 0 \quad \text{is true.} \]

Final Answer