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

• APEX Calculus: Chapter 4

• Active Calculus: Sections 3.3 - 3.5

• Community Calculus: Chapter 6

Online Tutorials (including exercises with solutions)

S.O.S Math

• Implicit Differentiation

• Linear Approximations

• The Newton-Raphson Method

• Differentiating Inverse Functions

• Vertical Tangents and Cusps

Problem Sets with solutions

Visual Calculus

• Drill problems for finding a derivative by implicit differentiation.

• Drill on implicit differentiation and finding the tangent line at a given point.

• Drill on finding the derivative and the tangent line to the inverse of a function.

• Drill on using differentials to approximate expressions (linear approximation).

• Drill on applying L'Hospital's Rule. (Using finite limits)

• Drill on applying L'Hospital's Rule. (Using infinite limits)

• Drill problems on the use of Newton's Method.

eCalculus.org and UC Davis Math

• Problems on applied maxima and minima

• Problems on implicit differentiation

Free Worksheets (with solutions)

Paul's Online Notes

• Optimization Problems

• More Optimization Problems

• L’Hospital’s Rule and Indeterminate Forms

• Linear Approximations

• Differentials

• Newton’s Method

• Business Applications

KUTA Software

• Motion Along a Line

• Related Rates

• Differentials

• Newton's Method

• L'Hôpital's Rule

• Implicit Differentiation

• Derivatives of Inverse Functions

Free Quizzes (with solutions) 

Zweigmedia

• Related rates