Differentiate rational functions

Calculus Tutorial

Differentiate rational functions

Intro

d/dx(xn)=nx(n-1)
d/dx(x)=1
d/dx(c)=0

Sample Problem

what is the value of d/dx((3x+2)/(2×2-1)) at x=1

Solution

y=(3x+2)/(2×2-1)
dy/dx=((2×2-1).d/dx(3x+2)-(3x+2).d/dx(2×2-1))/(2×2-1)2 — quotient rule
=((2×2-1).3-(3x+2).4x)/(2×2-1)2 —power rule
=(6×2-3-12×2-8x)/(2×2-1)2 — expand
=(-6×2-8x-3)/(2×2-1)2 — simplify
=(-6.1-8.1-3)/(2.1-1) — substituting x=1
=-17/1
=-17



About The Author

Mathematics Teacher
I was a teacher in Srilanka from 1992 to 2006.I took tuition from 1990 to 1991 in India.I do general work in Canada but I help to do homework to my daughters.I finished my teachers training college diploma in Srilanka.
Send Email
13 Subjects
KnowRo Tutor
28 Tutorials
$25
Montréal, QC
Learn

Suggested Tutors for Calculus Help

Ad

Varsity Tutors

(855) 475-5132 - Award-Winning Academic & Test Prep Tutors

Ad

Study Wizards

(408) 883-8660 5-Star Yelp and Google in-home tutoring

Ad

Link Educational Institute

Link Educational Institute

Lance L

Frederick, MD

Math, Chemistry And Physics Tutor

Leave a Comment

Your email address will not be published. Required fields are marked *

^