In the latter case it
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
123
is implicit that y is a function of x and we say that the relationship of the second type,
above, gives function implicitly In this subsection, we learn to differentiate implicit
functions Example 22 Find dy
dx  if x – y = π Solution One way is to solve for y and rewrite the above as
y = x – π
But then
dy
dx  = 1
Alternatively, directly differentiating the relationship w