Derivatives of Exponential and Logarithmic Functions

Videos on differentiating exponential functions

Videos on differentiating logarithmic functions

Be at least familiar with these ideas when you come to class tomorrow!  We’ll go over them, but at a pretty quick pace, so it’ll be really helpful to have a foundation.

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What to do with the substitute…

…is learn derivative rules!  The following links will take you to a Khan Academy video with many other videos available in a menu on the left side of the screen.  Start with ones you think will be helpful, but swap if you already know what he’s telling you.  Have patience and invest in the learning opportunity.  (A good tip, if it’s moving too slowly, is to adjust the speed in “settings.”  I find that 1.25 for speed is approximately normal, but the regular speed or even a little slower is good for taking notes and processing time).

Basic Differentiation Rules

The Power Rule

Derivatives of Polynomial Functions

Using the Power Rule for fractional powers

Product Rule

Quotient Rule

If you’re good with all of these, check out the Chain Rule!

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April 18th, 2017

Derivative rules (including product and quotient rules) were the theme of the day.  Please get handout from tray.  In class tomorrow, you’ll have a sub.  Please refer to the blog post that will appear tomorrow morning for instructions for what to do.  Happy calculus-ing!

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April 17th, 2017

Welcome back from Spring Break and testing week!  6 weeks of high school left (but who’s counting?)!  It really is the sprint to the finish at this point.

So far, we’ve been finding derivatives using the limit definition (the limit as h approaches zero of…).  Fortunately for us, though, there are rules that circumvent the need to complete this lengthy process every time we want to find the slope of a tangent line.  The goal today was to discover some of those rules based on observing examples and looking for a pattern.  The handout is here: 0417 Derivative Rules – Part 1.  This needs to be completed by each of you and turned in with your homework tomorrow.

HW (due tomorrow): p. 124 #1-12

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March 8th, 2017

Homework answers are here: HW 2.4 Answers.  Tomorrow, we’ll be working on the ideas introduced in class today!

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March 7th, 2017

Hey – The homework that was originally due tomorrow will not be due until Thursday.  If you’re stuck, read the book, then come with questions!  Cheers.

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March 6th, 2017

I can use the slope of secant lines to predict the slope of a tangent line at a certain point on a function.

HW (due Wednedsay): p. 92 #1-4, 9-12, 25, 28-29

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Quiz Corrections

Here’s what needs to be included in your quiz corrections.  Quiz corrections are due 1 week after quizzes are passed back, and you can earn up to half the credit you lost.  Corrections should include the following for EACH QUESTION:

1. Why you did not answer it correctly in the first place?

2. Correct the problem.

3. What will you do in the future to prevent that mistake again (in light of corrected solution)?

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March 1st, 2017

March already!

Today, we talked about what happens to limits as x approaches a vertical asymptote.  (Side note: Learn to pronounce that word!).

HW: Make a mind map of everything you know about limits!  And read the first 4 pages of section 2.3 of the textbook.

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February 15th, 2017

I can find the limit of a function as x approaches a finite value.

Practice for the quiz tomorrow! Worksheet and answer key are available here: 0215 Finite Limits

#6 on that answer key is correct.  You cancel (x+2) from numerator and denominator, then plug in -2.  Were there any other questions about the answers?  If so, please email me!

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