From the course: Complete Guide to Calculus Foundations for Data Science

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Implicit differentiation

Implicit differentiation

From the course: Complete Guide to Calculus Foundations for Data Science

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Implicit differentiation

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- [Instructor] So far, you have used standard differentiation techniques. There are some cases, though, where standard differentiation will not suffice. This is where implicit differentiation and logarithmic differentiation come in handy. Let's start off by exploring implicit differentiation. There are some cases where the equation you are taking a derivative of is not in the standard format y equals f of x. There are also sometimes cases where the dependent variable, such as y, is not isolated to one side of the equation. For example, if you have y equal to x squared plus four multiplied by y cubed. This makes it difficult to solve for your dependent variable y explicitly, and it frequently arises in equations for relations that define shapes or curves, like circles and hyperbolas. This is where implicit differentiation comes in handy. Implicit differentiation is the process where you are differentiating equations where the dependent variable y is not isolated on one side of the…

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