Implicit derivative

derivative of functions

Implicit derivatives are derivatives of implicit functions. This means that they are not in the form of (explicit function), and are instead in the form (implicit function). It might not be possible to rearrange the function into the form . To use implicit differentiation, we use the chain rule,

If we let , then,

Example change


Which we can work out to be equivalent to, using the above,


Then we can isolate  


Then divide to get,