Derivative of Inverse Functions Examples & Practice Problems - Calculus

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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: https://www.youtube.com/watch?v=-aTLjoDT1GQ Derivatives - Alternate Limit Definition: https://www.youtube.com/watch?v=6yzaEpacZkg Derivatives - The Constant Rule: https://www.youtube.com/watch?v=cyn6CDnAlcA Derivatives - The Power Rule: https://www.youtube.com/watch?v=9Yz-RCdS2Tg Derivatives - Constant Multiple Rule: https://www.youtube.com/watch?v=ut-AFj600S0 Derivatives - Polynomial Functions: https://www.youtube.com/watch?v=8Sv6CNuNwqo Derivatives - Sine and Cosine: https://www.youtube.com/watch?v=QYJx-ztCrE4 Derivatives - Trigonometric Functions: https://www.youtube.com/watch?v=PEqCa0U77mc Derivatives - Limits: https://www.youtube.com/watch?v=xGibYZiT5-U _______________________________________________________________________________________ Derivatives - Tangent Line: https://www.youtube.com/watch?v=5NyeGzbBJQM Derivatives - Horizontal Tangent Line: https://www.youtube.com/watch?v=aNfoxbMUOHk The Equation of The Normal Line: https://www.youtube.com/watch?v=lEF2mmR3CWU The Equation of The Secant Line: https://www.youtube.com/watch?v=680o1GL-LRg Average and Instantaneous Velocity: https://www.youtube.com/watch?v=AwxT1xjMP9g Instantaneous Rate of Change: https://www.youtube.com/watch?v=dvQdQLTnDpk Derivatives - Rational Functions: https://www.youtube.com/watch?v=qknoFdPwEco Derivatives - Radical Functions: https://www.youtube.com/watch?v=B1YkgNDbx5o Derivatives - Fractions: https://www.youtube.com/watch?v=qrBkQ8Ci2fM Derivatives - Higher Order: https://www.youtube.com/watch?v=s7rd9YPJrNc _______________________________________________________________________________________ Derivatives - Simplifying: https://www.youtube.com/watch?v=3lUOtjkqfQo Derivatives - Product Rule - f*g: https://www.youtube.com/watch?v=17X5g9QArTc Derivatives - Product Rule - f*g*h: https://www.youtube.com/watch?v=cUXW9cj_CpE Derivatives - Product Rule - f*g*h*k: https://www.youtube.com/watch?v=U8u0VGvFgV0 Derivatives - Quotient Rule: https://www.youtube.com/watch?v=8jVDEcQ0wXk Derivatives - Chain Rule: https://www.youtube.com/watch?v=HaHsqDjWMLU Chain Rule With Trig Functions: https://www.youtube.com/watch?v=ZyWHTWJ2XpM Chain Rule - Harder Examples: https://www.youtube.com/watch?v=_1LTThkXvSw Chain Rule - Triple SQRT(x): https://www.youtube.com/watch?v=BTuGkPj7ymE Derivatives - Composite Functions: https://www.youtube.com/watch?v=vNXjMTv4vHs _______________________________________________________________________________________ Implicit Differentiation: https://www.youtube.com/watch?v=xbviQHhU1rA Derivatives - Inverse Trig Functions: https://www.youtube.com/watch?v=KbYW9FDm-Zk Derivatives - Exponential Functions: https://www.youtube.com/watch?v=yg_497u6JnA Derivatives - Logarithmic Functions: https://www.youtube.com/watch?v=Dp9sgIvaKPk Logarithmic Differentiation: https://www.youtube.com/watch?v=9z1Dz60mWcQ Derivatives - Using Logarithms: https://www.youtube.com/watch?v=VnB59SrT0PY Derivatives - Inverse Functions: https://www.youtube.com/watch?v=Hw6ltuCEtuU Derivatives - Differentiation Rules: https://www.youtube.com/watch?v=IvLpN1G1Ncg Derivatives - Function Notations: https://www.youtube.com/watch?v=7BK_mmYckmI Derivatives - The Reciprocal Rule: https://www.youtube.com/watch?v=dsqD5zg9hLY ________________________________________________________________________________________ Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Full-Length Exams and Worksheets: https://bit.ly/4990rzU Derivatives - Formula Sheet: https://bit.ly/4dThzf1
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Derivative of Inverse Functions Examples & Practice Problems - Calculus

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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:
Derivatives - Alternate Limit Definition:
Derivatives - The Constant Rule:
Derivatives - The Power Rule:
Derivatives - Constant Multiple Rule:
Derivatives - Polynomial Functions:
Derivatives - Sine and Cosine:
Derivatives - Trigonometric Functions:
Derivatives - Limits:
_______________________________________________________________________________________
Derivatives - Tangent Line:
Derivatives - Horizontal Tangent Line:
The Equation of The Normal Line:
The Equation of The Secant Line:
Average and Instantaneous Velocity:
Instantaneous Rate of Change:
Derivatives - Rational Functions:
Derivatives - Radical Functions:
Derivatives - Fractions:
Derivatives - Higher Order:
_______________________________________________________________________________________
Derivatives - Simplifying:
Derivatives - Product Rule - f*g:
Derivatives - Product Rule - f*g*h:
Derivatives - Product Rule - f*g*h*k:
Derivatives - Quotient Rule:
Derivatives - Chain Rule:
Chain Rule With Trig Functions:
Chain Rule - Harder Examples:
Chain Rule - Triple SQRT(x):
Derivatives - Composite Functions:
_______________________________________________________________________________________
Implicit Differentiation:
Derivatives - Inverse Trig Functions:
Derivatives - Exponential Functions:
Derivatives - Logarithmic Functions:
Logarithmic Differentiation:
Derivatives - Using Logarithms:
Derivatives - Inverse Functions:
Derivatives - Differentiation Rules:
Derivatives - Function Notations:
Derivatives - The Reciprocal Rule:
________________________________________________________________________________________
Introduction to Limits:
Introduction to Related Rates:
Calculus 1 Final Exam Review:
Full-Length Exams and Worksheets:
Derivatives - Formula Sheet:


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