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.