1. Let's clarify the problem: you want to find the derivative of a function, which means finding the rate at which the function changes with respect to its variable. 2. The derivative of a function $f(x)$ is denoted as $f'(x)$ or $\frac{df}{dx}$. 3. The basic rules for derivatives include: - Power rule: $\frac{d}{dx} x^n = n x^{n-1}$ - Constant rule: $\frac{d}{dx} c = 0$ where $c$ is a constant - Sum rule: $\frac{d}{dx} [f(x) + g(x)] = f'(x) + g'(x)$ - Product rule: $\frac{d}{dx} [f(x) g(x)] = f'(x) g(x) + f(x) g'(x)$ - Quotient rule: $\frac{d}{dx} \left( \frac{f(x)}{g(x)} \right) = \frac{f'(x) g(x) - f(x) g'(x)}{[g(x)]^2}$ - Chain rule: $\frac{d}{dx} f(g(x)) = f'(g(x)) g'(x)$ 4. To proceed, please provide the specific function you want to differentiate, so I can show the step-by-step derivative calculation.