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: