textbook-theory · English
Negative Power Functions and Their Graphs
A four-page instructional chapter covering functions of the form f(x) = x^{-n} where n is a natural number. The text addresses domain restrictions, symmetry (odd vs. even functions), horizontal and vertical asymptotes, and the differentiation rule for negative integer exponents, extending the power rule to all integers k. Worked examples include applying the Chain Rule to compositions involving negative power functions such as 1/(x+2) and (sin x)^{-3}.
negative power functionsasymptotesdifferentiationcalculus