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Library Research Guides

Calculus Resources: Derivatives

Read It

Check out this topic in the following free, online textbooks:

Watch It

The Limit Definition of the Derivative

Short explanations: 

         Difference Quotient and Average Rate of Change: 

                  Math By Fives         Prof. RobBob

         Limit Definition of Derivative: BrightStorm

         Finding the Equation of the Tangent Line: Math BFF

Longer, lecture style:   Prof. RobBob        Prof. Leonard  


Basic Derivative Rules (Power, Product, Quotient)

Short explanations:  MySecretMathTutor 

Longer, lecture style: 

              Crystal Clear Maths       Prof. RobBob       Prof. Leonard   

 


The Chain Rule

Short explanations: IntegralCALC

Longer, lecture style: 

              Crystal Clear Maths       Prof. RobBob       Prof. Leonard  

Advanced topics:

      Functions Inside the Exponent  Crystal Clear Maths

      Logarithmic Differentiation


Videos for Specific probelms: MathisPower4U's Calculus I Video Library (middle column)

Try It

Online Tutorials (including exercises with solutions)

MathIsFun: Derivatives

S.O.S Math

Problem Sets with solutions

Visual Calculus

  • Drill problems for finding the derivative of a function using the definition of a derivative.

  • Drill problems for differentiation using the product rule. (Algebraic and exponential functions).

  • Drill problems for differentiation using the quotient rule.

  • Drill problems for differentiation using the product rule. (Emphasis on trigonometric functions).

  • Drill problems for differentiation using the quotient rule. (Emphasis on trigonometric functions).

  • Extra Drill problems for differentiation using the product rule.

  • Drill problems for differentiation using the chain rule.

  • Drill on applying logarithmic differentiation.

eCalculus.org and UC Davis Math

Free Worksheets (with solutions)

Paul's Online Notes

KUTA Software

Free Quizzes (with solutions)

Visual Calculus

  • Quiz on finding the derivative of functions overall.

Zweigmedia