minimal entity page
extended power rule
[extended power rule|extended power rule] is a theorem stating that if k is a negative integer, then the derivative follows a specific pattern, with a proof involving substitution of n = -k as a positive integer.
Definition
extended power rule is a theorem stating that if k is a negative integer, then the derivative follows a specific pattern, with a proof involving substitution of n = -k as a positive integer.
Mechanism
extended power rule applies when k is a negative integer, using the example where d(,-4 is found by setting n = -k to convert it into a positive integer.
Constraints
extended power rule applies when k is a negative integer, with n = -k as a positive integer. The theorem's proof relies on substituting n = -k to transform the rule.