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Differential


Definition

Differential: how does a function's value change when its independent variable has a minimum change. We denote the change as dy.
For function in one-dimension, we have the relationship between differential (dy, dx) and derivative (f'(x)) as:


Basic differential rule

Let u and v to be two differentiable functions, we have:


Differential of inverse function

If f is differentiable, then is also differentiable:


Note


Example