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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 x and y) by treating one of the variables as a function of the other. This calls for using the chain rule.
Let's differentiate x2+y2=1 for example. Here, we treat y as an implicit function of x.
Notice that the derivative of y2 is 2ydydx and not simply 2y. This is because we treat y as a function of x.
Want a deeper explanation of implicit differentiation? Check out this video.

Check your understanding

Problem 1
Choose 1 answer:

Want to try more problems like this? Check out this exercise.

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