AP Test Prep
College Board

2011 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
AP Test Prep
College Board

2003 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
AP Test Prep
College Board

2002 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Peek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...
Worksheet
Curated OER

Practice Test: Derivatives

For Students 11th - 12th
For this derivatives worksheet, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.
Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
In this implicit differentiation learning exercise, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page learning...
Worksheet
Curated OER

The Chain Rule and Applications

For Students Higher Ed
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Partial Derivatives

For Students 9th - 10th
The resource examines partial derivatives. Topics investigated are limits, higher order partial derivatives, chain rule, and directional derivatives. Class notes, definitions, and examples with detailed solutions are included. The notes...