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Calculus Maximus WS 2.3: Differentiation Rules Name Date Period Worksheet 2.3Differentiation Rules Show all work. No Calculator unless stated otherwise. Short Answer For 13, using correct notation
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To fill out 3 differentiation rules, follow these steps:

01
Identify the function you want to differentiate: Before applying any differentiation rules, you need to have a function that you want to find the derivative of. This can be any mathematical expression or equation.
02
Differentiation Rule 1: The Power Rule - This rule applies to functions that are raised to a power. To differentiate a function of the form f(x) = x^n, where n is any constant, you can use the power rule. The power rule states that the derivative is equal to the exponent multiplied by the coefficient of x, and then subtract 1 from the exponent: f'(x) = n * x^(n-1).
03
Differentiation Rule 2: The Sum and Difference Rule - This rule applies when you have a function that is a sum or difference of multiple terms. To differentiate such a function, you simply differentiate each term separately and add or subtract the results. For example, if you have f(x) = g(x) + h(x), where g(x) and h(x) are two different functions, then the derivative of f(x) is f'(x) = g'(x) + h'(x).
04
Differentiation Rule 3: The Chain Rule - This rule is used when you have a composition of two functions. If you have a function f(x) = g(h(x)), where g(x) and h(x) are two different functions, then the derivative of f(x) can be found using the chain rule. The chain rule states that the derivative of f(x) is equal to the derivative of the outer function g'(h(x)) multiplied by the derivative of the inner function h'(x): f'(x) = g'(h(x)) * h'(x).
In summary, anyone studying calculus or pursuing a mathematical or scientific field that involves functions and their derivatives can benefit from knowing and applying these 3 differentiation rules. These rules provide a systematic approach to finding derivatives and are fundamental in many areas of mathematics and physics.
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3 differentiation rules are guidelines or principles used to determine how to calculate derivatives of functions.
Students studying calculus or mathematics are required to understand and apply 3 differentiation rules.
To fill out 3 differentiation rules, one must understand the basic rules for calculating derivatives such as the power rule, product rule, and chain rule.
The purpose of 3 differentiation rules is to help simplify the process of finding derivatives of functions.
3 differentiation rules typically involve reporting the function to be differentiated and applying the appropriate rules to find the derivative.
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