Calculation of Derivatives
In this lesson on the calculation of derivatives, students will learn the power, product, reciprocal, and quotient rules for finding derivatives. The lesson covers the basic functions, linearity properties, and includes several examples to illustrate how to apply these rules. The lesson also explains the derivation of the reciprocal and quotient rules and provides a more general power rule for any integer. Overall, this lesson provides a comprehensive overview of the various methods for calculating derivatives.
The power, product, reciprocal, and quotient rules for calculating derivatives.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
- Some Differentiation Formulas - Practice Problems Using Some Differentiation Formulas.
- Table of Derivatives - Table of derivatives of several different functions.
- Differentiation Identities - Limit definitions of the derivative, Fundamental Theorem for Derivatives, and rules of derivatives
- What is the power rule?
- What is the product rule?
- What is the reciprocal rule?
- What is the quotient rule?
- What is the derivative of a constant function?
- What is the derivative of the identity function, f(x) = x?
- What is the derivative of the square root of x?
-
Staff Review
This lesson explains and shows several examples of rules and properties for finding derivatives. The lesson also shows why these rules work and are true. Really slow and thorough explanations help make the product rule and quotient rule make more sense. Again in this video, the real strength is all of the examples, which really help solidify the ideas.
![[C.2] Numerical Derivative preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbHNIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--c6ee1ea56bbd5c901b61139448f10be109cf4c25/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.2%5D%20numerical%20derivative.jpg)
![[C.3] Elasticity preview image](https://www.mathvids.com/rails/active_storage/representations/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBbHdIIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--d21bd33a1c06e3acc8f7fac2b42d3a75574eaedf/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCam9VY21WemFYcGxYM1J2WDJ4cGJXbDBXd2RwQVpacGN3PT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--fd851aaa3027f3a83a588ba5d0f1fd585b3d8659/%5Bc.3%5D%20%20elasticity.jpg)
