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Μάθημα: Διαφορικός Λογισμός > Ενότητα 3
Μάθημα 3: Εμμεση διαφοροποίηση- Εμμεση διαφοροποίηση
- Worked example: Implicit differentiation
- Worked example: Evaluating derivative with implicit differentiation
- Εμμεση διαφοροποίηση
- Showing explicit and implicit differentiation give same result
- Implicit differentiation review
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Implicit differentiation review
Review your implicit differentiation skills and use them to solve problems.
How do I perform implicit differentiation?
In implicit differentiation, we differentiate each side of an equation with two variables (usually and ) by treating one of the variables as a function of the other. This calls for using the chain rule.
Let's differentiate for example. Here, we treat as an implicit function of .
Notice that the derivative of is and not simply . This is because we treat as a function of .
Want a deeper explanation of implicit differentiation? Check out this video.
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