{"id":1041,"date":"2021-03-05T21:25:09","date_gmt":"2021-03-05T21:25:09","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/?post_type=chapter&p=1041"},"modified":"2021-06-07T19:56:22","modified_gmt":"2021-06-07T19:56:22","slug":"introduction-to-derivatives-of-inverse-functions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/introduction-to-derivatives-of-inverse-functions\/","title":{"raw":"Introduction to Derivatives of Inverse Functions","rendered":"Introduction to Derivatives of Inverse Functions"},"content":{"raw":"

What you'll learn to do:\u00a0Calculate the derivatives of an inverse function and inverse trigonometric functions<\/h2>\r\nIn this section we begin with the relationship between the derivative of a function and the derivative of its inverse. For functions whose derivatives we already know, we can use this relationship to find derivatives of inverses without having to use the limit definition of the derivative.\u00a0 This formula may be used to extend the power rule to rational exponents.","rendered":"

What you’ll learn to do:\u00a0Calculate the derivatives of an inverse function and inverse trigonometric functions<\/h2>\n

In this section we begin with the relationship between the derivative of a function and the derivative of its inverse. For functions whose derivatives we already know, we can use this relationship to find derivatives of inverses without having to use the limit definition of the derivative.\u00a0 This formula may be used to extend the power rule to rational exponents.<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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