PURE MATHEMATICS - Differential Calculus

 

Implicit Equations

 

 

Implicit Equations

example#1

example#2

example#3

 

 

 

Explicit Equations

 

Explicit equations are the type we are most familiar with eg y = f(x), y = 2x2 + 3x - 5 etc. where y is expressed in terms of x or some other variable.

 

Implicit Equations

 

Implicit equations have the structure of being a mix of x and y terms eg 2x2+ 3xy - 3y2 = 5 , so y cannot be expressed in terms of x.

 

The method for solving equations of this type is to regard the whole expression as a function of x and to differentiate both sides of the equation. Any power of y is treated as a 'function of a function', as y is a function of x.

 

 

back to top

 

 

Example #1  

 

 

 

back to top

 

 

Example #2    

 

 

 

back to top

 

 

Example #3  

 

 

 

 

back to top

 

 

 

this week's promoted video

 

 from Physics Trek

 

 

creative commons license

All downloads are covered by a Creative Commons License.
These are free to download and to share with others provided credit is shown.
Files cannot be altered in any way.
Under no circumstances is content to be used for commercial gain.

 

 

 

 

©copyright a-levelmathstutor.com 2020 - All Rights Reserved