Questions: If f(x)=x, then f'(5)= 5 25/2 1 None of these 1/5

Solution Steps

To find the derivative of the function \( f(x) = x \), we need to apply the basic rules of differentiation. The derivative of \( f(x) = x \) with respect to \( x \) is a constant, as the rate of change of \( x \) with respect to itself is always 1. Therefore, \( f'(x) = 1 \) for any value of \( x \), including \( x = 5 \).

We start with the function defined as \( f(x) = x \).

To find the derivative of \( f(x) \), we apply the differentiation rule. The derivative is given by: \[ f'(x) = \frac{d}{dx}(x) = 1 \]

Next, we evaluate the derivative at the specific point \( x = 5 \): \[ f'(5) = 1 \]

Final Answer