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Introduction to Derivatives
Have you heard of the term "derivative" before? What do you think it means?
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Have you heard of the term "derivative" before? What do you think it means?
Slide 1 - Open vraag
Which blue line demonstrates a line tangent to the curve?
A
B
C
D
Slide 2 - Quizvraag
Derivative Formula #1
Derivative Formula #2
Slide 3 - Tekstslide
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
:
Write the equation you will use.
Fill in known information for f(a). In this problem, we know that f(3)=6.
Substitute x into f(a) to complete your limit.
Simplify this expression using your knowledge of factoring.
Once you get a limit that can be solved (the denominator is not zero, substitute 3 into your expression and solve.
Slide 4 - Tekstslide
Test Yourself!
Try to perform Example 1 in your notes. You can compare your work with mine on the next slide!
Slide 5 - Tekstslide
Slide 6 - Tekstslide
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 - y
1
= m(x - x
1
)
Slide 7 - Tekstslide
Is this making sense? Please let me know where you are confused!
Slide 8 - Open vraag
Drag the function graphs above down to their matching derivative graphs below!
Slide 9 - Sleepvraag
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 - Tekstslide
Slide 11 - Tekstslide
Do you have any questions or areas of concern?
Slide 12 - Open vraag
You are a SMART COOKIE, and you can do this! Practice makes perfect.
Slide 13 - Tekstslide
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