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Derivative of Inverse Functions Examples & Practice Problems - Calculus

This calculus video tutorial explains how to find the derivative of an inverse function. It contains plenty of examples and practice problems for you to master the concept. it shows you how to find the inverse function f^-1(x) from f(x) and how to calculate [f^-1(x)]' in terms of x and y. It also shows you how to calculate the slope of the tangent line using the derivative. In addition, it shows you how to calculate the derivative of the inverse function using implicit differentiation - dy/dx. Examples include polynomial and square root / radical functions. Derivatives - Limit Definition:    • Definition of the Derivative   Derivatives - Alternate Limit Definition:    • Alternate Form of The Limit Definitio...   Derivatives - The Constant Rule:    • The Constant Rule For Derivatives   Derivatives - The Power Rule:    • The Power Rule For Derivatives   Derivatives - Constant Multiple Rule:    • The Constant Multiple Rule For Deriva...   Derivatives - Polynomial Functions:    • Derivatives of Polynomial Functions |...   Derivatives - Sine and Cosine:    • Derivative of Sine and Cosine Functio...   Derivatives - Trigonometric Functions:    • Derivatives of Trigonometric Functions   Derivatives - Limits:    • Limits and Derivatives   _______________________________________________________________________________________ Derivatives - Tangent Line:    • How To Find The Equation of The Tange...   Derivatives - Horizontal Tangent Line:    • How to Find The Point Where The Graph...   The Equation of The Normal Line:    • How To Find The Equation of the Norma...   The Equation of The Secant Line:    • How To Find The Equation of a Secant ...   Average and Instantaneous Velocity:    • Average Velocity and Instantaneous Ve...   Instantaneous Rate of Change:    • Instantaneous Rate of Change   Derivatives - Rational Functions:    • Derivatives of Rational Functions   Derivatives - Radical Functions:    • Derivatives of Radical Functions   Derivatives - Fractions:    • How To Find The Derivative of a Fract...   Derivatives - Higher Order:    • Higher Order Derivatives   _______________________________________________________________________________________ Derivatives - Simplifying:    • Simplifying Derivatives   Derivatives - Product Rule - f*g:    • Product Rule For Derivatives   Derivatives - Product Rule - f*g*h:    • Product Rule With 3 Functions - Deriv...   Derivatives - Product Rule - f*g*h*k:    • Product Rule With 4 Functions - Deriv...   Derivatives - Quotient Rule:    • Quotient Rule For Derivatives   Derivatives - Chain Rule:    • Chain Rule For Finding Derivatives   Chain Rule With Trig Functions:    • How To Find The Derivative of Sin^2(x...   Chain Rule - Harder Examples:    • Calculus - Chain Rule - Derivatives   Chain Rule - Triple SQRT(x):    • Find The Derivative Using The Chain Rule   Derivatives - Composite Functions:    • Derivatives of Composite Functions - ...   _______________________________________________________________________________________ Implicit Differentiation:    • Implicit Differentiation   Derivatives - Inverse Trig Functions:    • Derivatives of Inverse Trigonometric ...   Derivatives - Exponential Functions:    • Derivatives of Exponential Functions   Derivatives - Logarithmic Functions:    • Derivative of Logarithmic Functions   Logarithmic Differentiation:    • Introduction to Logarithmic Different...   Derivatives - Using Logarithms:    • Finding Derivatives Using Logarithms ...   Derivatives - Inverse Functions:    • Derivatives of Inverse Functions | Ca...   Derivatives - Differentiation Rules:    • Basic Differentiation Rules For Deriv...   Derivatives - Function Notations:    • dy/dx, d/dx, and dy/dt - Derivative N...   Derivatives - The Reciprocal Rule:    • The Reciprocal Rule and The Quotient ...   ________________________________________________________________________________________ Introduction to Limits:    • Calculus 1 - Introduction to Limits   Introduction to Related Rates:    • Introduction to Related Rates   Calculus 1 Final Exam Review:    • Calculus 1 Final Exam Review   Full-Length Exams and Worksheets: https://bit.ly/4990rzU Derivatives - Formula Sheet: https://bit.ly/4dThzf1