Certainly! Differentiation is a mathematical technique used to find the rate at which a function is changing at a specific point. The result of differentiation is called the derivative of the function. Here are some of the key rules of differentiation:

Power rule: If a function is of the form f(x) = x^n, where n is any real number, then the derivative of the function is f'(x) = n*x^(n-1).

Constant multiple rule: If a function is of the form f(x) = kg(x), where k is a constant and g(x) is a function, then the derivative of the function is f'(x) = kg'(x), where g'(x) is the derivative of g(x).

Sum and difference rule: If a function is of the form f(x) = g(x) + h(x), where g(x) and h(x) are functions, then the derivative of the function is f'(x) = g'(x) + h'(x). Similarly, if a function is of the form f(x) = g(x) - h(x), then the derivative of the function is f'(x) = g'(x) - h'(x).

Product rule: If a function is of the form f(x) = g(x) * h(x), then the derivative of the function is f'(x) = g'(x)*h(x) + g(x)*h'(x).

Quotient rule: If a function is of the form f(x) = g(x) / h(x), then the derivative of the function is f'(x) = [g'(x)*h(x) - g(x)*h'(x)] / h(x)^2.

Chain rule: If a function is of the form f(x) = g(h(x)), where g(x) is a function and h(x) is another function, then the derivative of the function is f'(x) = g'(h(x)) * h'(x).

These are some of the most basic rules of differentiation. There are also more advanced techniques such as the chain rule, implicit differentiation, and logarithmic differentiation. It's important to note that not all functions can be differentiated using these rules, and some functions require more complex techniques.
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