Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question in the attached file.
a) Given the expression 9x^2 - y^2 = 1
Differentiating implicitly will give;

We can then make dy/dx the subject of the formula as shown;

b) In order to solve the question explicitly, we will first have to make x the subject of the formula before differentiating.

Using chain rule to solve the equation;
let;
du/dx = 18x
dy/du = 
dy/dx = dy/du * du/dx
dy/dx = 

c) In order to confrim that solutions to part (a) and (b) are consistent, we will substitute
into the answer in (a) as shown;
From (a) 

This shows that they are consistent