1. The problem states that the derivative of a function $A(x)$, denoted as $A'(x)$, is 24. 2. This means the rate of change of $A(x)$ with respect to $x$ is constant and equal to 24. 3. To find the original function $A(x)$, we integrate the derivative: $$A(x) = \int 24 \, dx$$ 4. The integral of a constant $c$ with respect to $x$ is $cx + C$, where $C$ is the constant of integration. 5. Therefore, $$A(x) = 24x + C$$ 6. Without additional information (like an initial condition), the constant $C$ remains unknown. 7. In summary, the function whose derivative is 24 is $A(x) = 24x + C$ where $C$ is any constant.