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

**Implicit differentiation**, on the other hand, is differentiating a variable *in terms of another variable*. We're not just taking the derivative of *x* or *8x+6* anymore, we're taking the derivative of whole equations like *y = 8x+6* to find *dy/dx*.

#### 〰️ Explicit:

- Single variable function/relation
- Example:

#### 〰️ Implicit:

- 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.