Differentiating using multiple rule

Calculus Tutorial

Differentiating using multiple rule


using the chain rule and product rule

Sample Problem

find dy/dx


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)+(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 teacher\'s training college diploma in Srilanka. I completed my B.Sc degree course at Bharayiar university in India.
13 Subjects
KnowRo Tutor
28 Tutorials
Montréal, QC
Get Tutoring Info

Suggested Tutors for Calculus Help

Krista L

Salem, NH

Math Expert

Paul P

Dover, NH

Math Subject Matter Expert And SAT Instructor

Salme C

Dover, NH

Engineer With Teaching/Tutoring Experience

Brent A

Seabrook, NH

Chemistry And Physics