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Differentials : In this section we will introduce a notation. We will also look at an application of this new notation.
Given a function y = f ( x ) we call dy & dx differentials and the relationship among them is specified by,
dy = f ′ ( x ) dx
Note as well that if we are just given f (x) then the differentials are df & dx and we calculate them in the similar manner.
df = f ′ ( x ) dx
Example of Implicit differentiation So, now it's time to do our first problem where implicit differentiation is required, unlike the first example where we could actually avoid
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