Differentiating using multiple rule

Calculus Tutorial

Differentiating using multiple rule

Intro

using the chain rule and product rule

Sample Problem

y=cos((x3+2).sin(x+1))
find dy/dx

Solution

y=cos((x3+2).sin(x+1))
dy/dx=d/dx(cos((x3+2).sin(x+1))) — differentiate
dy/dx=(-sin(x3+2).sin(x+1)).d/dx((x3+2).sin(x+1)) — chain rule
dy/dx=(-sin(x3+2).sin(x+1)).(d/dx(x3+2).sin(x+1)+d/dx(sin(x+1)).(x3+2)) — product rule
dy/dx=-sin(x3+2).sin(x+1).(3×2.sin(x+1)+cos(x+1).1.(x3+2))
dy/dx=-sin(x3+2)sin(x+1)(3×2.sin(x+1)+(x3+2)cos(x+1)) — simplify



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Your email address will not be published.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 *

^