AP Calculus BC Monday, 01 February 2016 OBJECTIVE TSW (1) differentiate and integrate exponential functions that have bases other than e, and (2) use exponential functions to model compound interest and exponential growth. TESTS are not graded. Reminder –AMC test is tomorrow (down LGI).

AP Exam Registration Registration must be done on line. Regular registration: 01/05/2016 – 03/04/2016. Late registration: 03/05/2016 – 03/20/2016 –Additional $10 per test fee added on. Cost per test: –$96/test Can apply for a Cy-Hope scholarship (reduction of $25/test, up to 3 tests). Pick up applications at Counselors’ Corner or at Mr. Hernandez’s office or Ms. Lewis’ office. –$11/test (free/reduced lunch program) Not eligible for Cy-Hope scholarship.

Bases Other Than e and Applications

“There are 10 types of people in this world: Those who understand binary and those who don’t.”

Bases Other Than e and Applications

Another way to think of this is

has the same properties as other logarithms: 1) 2) 3) 4) Bases Other Than e and Applications

also shares the inverse properties:

Bases Other Than e and Applications Find the derivative of each of the following: a is a constant

Bases Other Than e and Applications Find the derivative of each of the following:

Bases Other Than e and Applications

Find the derivative: (What's the base?)

Bases Other Than e and Applications Integral of an exponential function to a base other than e:

Bases Other Than e and Applications Integrate:

Bases Other Than e and Applications ROM!!!

Bases Other Than e and Applications Continuous Compound Interest Formula Continuous Compound Interest Formula Memorize ! ! !