Скачать или смотреть Differentiation of implicit functions (examples)

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Please watch: "Limit of a function f(x): Epsilon ϵ and Delta δ definition with example"
   • How to calculate limit of a function f(x):...   -~-

Implicit vs Explicit
A function can be explicit or implicit:

Explicit: "y = some function of x". When we know x we can calculate y directly.

Implicit: "some function of y and x equals something else". Knowing x does not lead directly to y.

How to do Implicit Differentiation

1) Differentiate with respect to x
2) Collect all the dy/dx on one side
3) Solve for dy/dx

Tangent lines & derivatives:-
   • Tangent line and derivatives of a function.  

Derivatives through first principle rule:-
   • Derivatives through first principle rule (...