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In calculus, the power rule is used to differentiate functions of the form () =, whenever is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
The elementary power rule generalizes considerably. The most general power rule is the functional power rule: for any functions f and g, () ...
To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule). In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a relative change in the other quantity proportional to the change raised to a constant exponent: one ...
The power law is often used in wind power assessments [4] [5] where wind speeds at the height of a turbine ( 50 metres) must be estimated from near surface wind observations (~10 metres), or where wind speed data at various heights must be adjusted to a standard height [6] prior to use.
Differentiating gives by the product rule ... Here is a proof of Euler's formula using power-series expansions, as well as basic facts about the powers of i: ...
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The judicial branch of government holds powers as well. They have the ability to use express and concurrent powers to make laws and establish regulations. They use express powers to interpret laws and perform judicial review. Implied powers are used by this branch to declare laws that were previously passed by a lower court unconstitutional.
Small business owners should not forget about a rule — currently in legal limbo — that would require them to register with an agency called the Financial Crimes Enforcement Network, or FinCEN ...