Subjects calculus

Differentiation 960Ccc

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Differentiation 960Ccc


1. The problem is to differentiate a function, but the specific function is not provided. 2. Differentiation is the process of finding the derivative of a function, which represents the rate of change of the function with respect to a variable. 3. The basic rules of differentiation 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. Since no specific function is given, we cannot perform differentiation. 5. Please provide the function to differentiate for a detailed solution.