implicit differentiation

Calculus Tutorial

implicit differentiation


Evaluating derivative with implicit differentiation.

Sample Problem

Find the slope of the tangent line to the curve x3+(y-x)2=5 at(1,3).


3×2+2(y-x)(dy/dx-1)=0 differentiative
3×2+2(y-x)dy/dx-2(y-x)=0 simplify
dy/dx=(2(3-1)-3.1)/2(3-1) substitute x=1,y=3
slope of tangent=1/4

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