Introduction to Derivatives

Have you heard of the term "derivative" before? What do you think it means?
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Slide 1: Open question

This lesson contains 13 slides, with interactive quizzes and text slides.

Items in this lesson

Have you heard of the term "derivative" before? What do you think it means?

Slide 1 - Open question

Which blue line demonstrates a line tangent to the curve?

Slide 2 - Quiz

Derivative Formula #1
Derivative Formula #2

Slide 3 - Slide

Let's Practice with These Equations!
We'll start with Example 1 in your notes.  Here's the process when finding the derivative AT A POINT:
  1.  Write the equation you will use.
  2.  Fill in known information for f(a).  In this problem, we know that f(3)=6.
  3. Substitute x into f(a) to complete your limit.
  4. Simplify this expression using your knowledge of factoring.
  5. Once you get a limit that can be solved (the denominator is not zero, substitute 3 into your expression and solve.

Slide 4 - Slide

Test Yourself!
Try to perform Example 1 in your notes.  You can compare your work with mine on the next slide!

Slide 5 - Slide

Slide 6 - Slide

What if we needed the equation of the tangent line (Example 2)?
Well, we have a slope and a point.  Use point-slope form to generate an equation for the tangent line!

y - y1 = m(x - x1)

Slide 7 - Slide

Is this making sense? Please let me know where you are confused!

Slide 8 - Open question

Drag the function graphs above down to their matching derivative graphs below!

Slide 9 - Drag question

Let's try another one! 
Do example 7 in your notes, and then compare your work with mine on the next slide.  Try and use our formal limit equation!

Slide 10 - Slide

Slide 11 - Slide

Do you have any questions or areas of concern?

Slide 12 - Open question

You are a SMART COOKIE, and you can do this!  Practice makes perfect.

Slide 13 - Slide