Answer:
Let z = f(x, y) where f(x, y) =0 then the implicit function is 


Example:- 
Step-by-step explanation:
<u>Partial differentiation</u>:-
- Let Z = f(x ,y) be a function of two variables x and y. Then 
 Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.
    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.
It is denoted by δ z / δ x or δ f / δ x
- Let Z = f(x ,y) be a function of two variables x and y. Then 
 Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y
    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y
It is denoted by δ z / δ y or δ f / δ y
<u>Implicit function</u>:-
Let z = f(x, y) where f(x, y) =0 then the implicit function is 


The total differential co-efficient
d z = δ z/δ x +   δ z/δ y
 δ z/δ y
<u>Implicit differentiation process</u>
- differentiate both sides of the equation with respective to 'x'
-  move all d y/dx terms to the left side, and all other terms to the right side
-  factor out d y / dx from the left side
- Solve for d y/dx , by dividing
Example :  
solution:-
 differentiate both sides of the equation with respective to 'x'

 move all d y/dx terms to the left side, and all other terms to the right side

Taking common d y/dx 

 