Lesson: Differentiation of Inverse Functions Mathematics • Higher Education

Students will be able to

• understand that for a continuously differentiable function with nonzero derivative at a point , the derivative of the inverse function at is given by ,
• use this equation to find derivatives of familiar inverse functions, such as the natural logarithm,
• understand the statement of the inverse function theorem,
• use the inverse function theorem to find derivatives of inverse functions when we do not have an explicit formula for the inverse function.