Chapter 2.5 - Implicit Differentiation

Objectives:

• Distinguish between functions written in implicit form and explicit form.
• Use implicit differentiation to find the derivative of a function.

Implicit Differentiation pt1 (for Day #12 lesson)

Here's a still image of the example we did in class, in which we wrote an implicit relation as a pair of explicit functions. Note that this example is all algebra, and no calculus. (Click image to view example.)

Introduction to implicit differentiation, which is the process of finding dy/dx when it is difficult/impossible to isolate y in the original equation.

Implicit Differentiation pt2 (for Day #12 lesson)

Introduction to implicit differentiation, which is the process of finding dy/dx when it is difficult/impossible to isolate y in the original equation.

Implicit Differentiation pt3 (for Day #13 lesson)

Implicit differentiation on an interesting curve called a "Cassini Oval." Also, implicitly finding the second derivative of a function.

Q1 Exam

The exam officially covers all content through Chapter 2.5.

The Q1 exam will include 15 Multiple Choice and 7 Free Response.

The Barron's AP prep book provides extra recommended practice for Multiple Choice while the sections of the textbook addressed in recent homework provides extra recommended practice for Free Response.

Go to next page, Chapter 2.6.