Clean Water Rule coverage would produce a 2:1 ratio of benefits to costs in implementation after the final rule. Implementation of the rule will discern any implications for environmental justice communities, though it is clear that "meaningful involvement from minority, low-income, and indigenous populations, as well as other stakeholders, has been a cornerstone of development of the final rule." Specific details that have been clarified by the rule are outlined below. A tributary, or upstream water, must show physical features of flowing water – a bed, bank, and ordinary high water mark – to warrant protection. The rule provides protection for headwaters that
Chain rule for short, The derivative function is therefore: Another way of computing this derivative is to view the composite function as the composite of and "h". Applying the chain rule to this situation gives: This is the same as what was computed above. This should be expected because . Sometimes it is necessary to differentiate an arbitrarily long composition of the form formula_23. In this case, define where formula_25 and formula_26 when formula_27. Then the chain rule takes the form or, in the Lagrange notation, The chain rule can be used to derive some well-known differentiation rules. For example, the quotient