Feb 5, 2016 · How would the function behave under repeated differentiation? Would there be a point after which all derivatives are zero? How many inflection points does it have? What …

Oct 28, 2015 · Here are things to consider: 1) If the rational function has a linear term (or a term which can equal zero) in the denominator this will cause a vertical asymptote and in the …

Hopefully this explains why asymptotes only occur when the degree of the numerator is exactly one more than that of the denominator. It also might give you a hint for how you can find slant …

Jun 11, 2021 · So I have to find an equation of the lowest possible degree with rational coefficients that includes $2-i$ as a root, of multiplicity two. Initially I tried multiplying $ (z …

Why is a hole-finding method to factor both the top and bottom to find the same factors in the numerator and denominator. What mathematically is the logic behind finding the same factors …

Oct 11, 2019 · 5 Find the polynomial equation of the lowest degree with rational coefficients whose one root is $\sqrt [3] {2}+3\sqrt [3] {4}$ I tried using the conjugate pairs but I couldn't …

Jan 15, 2019 · Rule 3) If the degree of the numerator is exactly one more than the degree of the denominator, then the oblique asymptote is found by dividing the numerator by the …

Jun 1, 2016 · My solution: $ (a) \frac {1} { (x-3)}$. This is because when we find vertical asymptote (s) of a function, we find out the value where the denominator is $0$ because then the …

Mar 22, 2018 · It is known that there is a slant (oblique) asymptote when the degree of the numerator is 1 more than the denominator in a rational function. To find the equation of this …

Sep 26, 2020 · I have graphed out rational functions of linear/linear, quadratic/quadratic, linear/quadratic, and quadratic/linear as well as their first derivatives using the quotient rule. I …