Implicit Differentiation-General Mathematics-Lecture Handout, Exercises of Elementary Mathematics

This course contains basic of maths. Primary concepts like line, graph, calculus theorem, chain rule, series, sequence, coordinate, function, derivative, integral, areas, tangent line, limit are part of this course. This lecture includes: Implicit, Differentiation, Method, Derative, Write, Possibility, Approch, Assume, Rational

Typology: Exercises

2011/2012

Uploaded on 08/08/2012

randhir
randhir 🇮🇳

4.5

(15)

45 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MGT101
LECTURE 19
Implicit Differentiation
In this lecture we will discuss
Method of Implicit Differentiation
Consider the equation
We can rewrite this equation as
We can use power rule to differentiate this
equation
However, there is another possibility, with this
approach we obtain
Or we can write
By implicit differentiation
docsity.com
pf3

Partial preview of the text

Download Implicit Differentiation-General Mathematics-Lecture Handout and more Exercises Elementary Mathematics in PDF only on Docsity!

MGT

LECTURE – 19

Implicit Differentiation

In this lecture we will discuss

Method of Implicit Differentiation

Consider the equation We can rewrite this equation as We can use power rule to differentiate this equation However, there is another possibility, with this approach we obtain Or we can write This second method of obtaining derivatives is called implicit differentiation. By implicit differentiation

Implicit Differentiation

Solution: Taking derivative on both sides Hence Find the slope of the tangent line at the point (4,0) on the graph of

Solution:

By above example Again on taking derivative we have

Derivative of Rational Power of x