Key Term: (f(x) * g(x))'
Definition
Definition: The derivative of the product of two functions f(x) and g(x). It represents the rate at which the product of f(x) and g(x) is changing with respect to x.
Analogy
Analogy: Think of (f(x) * g(x))' as a recipe for baking a cake. Just like you need to know the individual recipes for each ingredient (f'(x) and g'(x)), you also need to know how they come together in the final product.
Related terms
- f'(x): The derivative of function f(x). It represents the rate at which f(x) is changing with respect to x.
- g'(x): The derivative of function g(x). It represents the rate at which g(x) is changing with respect to x.
- Chain Rule: A rule used to find derivatives when functions are composed or nested within each other.
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