1 min read•december 17, 2021

By now, you've probably covered basic differentiation of a function y in terms of a single variable x. This is called **explicit differentiation.**

Need a quick review on taking and finding derivatives, make sure you watch this 🎥 video introducing and explaining derivatives for a refresher.

- Single variable function/relation

Example:

- More than one variable in the function/relation

Example:

So how do you do implicit differentiation? **Just apply the chain rule!**

🌟 Example:

We can even simplify further to solve for *dy/dx*!

...And there you have it!

Implicit differentiation is useful in solving differential equations, where you'll need to solve for *dy/dx*. Some applications include optimization, e.g. finding the rate of change of volume with respect to the rate of change of time.

For more examples and help watch this video about 🎥 implicit differentiation and derivatives.

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✨Unit 5 – Analytical Applications of Differentiation

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