From the course: Complete Guide to Calculus Foundations for Data Science
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Inverse derivatives
From the course: Complete Guide to Calculus Foundations for Data Science
Inverse derivatives
- [Instructor] Let's take a moment to look at derivatives for inverse functions. If you remember from the inverse functions video earlier on in this course, an inverse of a function is essentially the reverse of it. Knowing how to deal with these derivatives will be important in order to help you understand inverse trigonometric derivatives. Let's say you have an inverse function for the function f of x, and it is notated by f to the -1 of x. In order to get the derivative of that inverse function f to the -1 of x, you get f-1 prime of x is equal to 1 divided by f prime of f-1 of x. Note that this only works if your original function f of x is both invertible and differentiable. This formula can be a bit difficult to understand at first with everything feeling like it is flipping around. Essentially, it is saying that derivative of the inverse of your original function f of x is equal to 1 divided by the derivative of your original function f of x evaluated at the specific point of f…
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