# 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
Mathematics

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?
A B C D #### 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 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 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.