The Power Rule

The Power Rule

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Storyboard Description

Power rule comic strip

Storyboard Text

  • Overheard their conversation
  •  What is a power rule? 
  • ... when you multiply from the outside...
  • Yeah.. It's called the power rule
  • Get to know each other
  • Nice. I'm Malcolm, and only a freshman.
  • My name is Shanon, I'm a junior.
  • Friend gets angry
  • Sure, that would be great!
  • I can teach you how to use the power rule.
  • What ever.
  • It's used to find the derivative, or the velocity of something.
  • Malcolm over heard people speaking about "the power rule" and it sparked his interest.
  • Example Problem
  • f(x)= 3x4+8x2
  • Shanon's friend is becoming impatient and wants to leave.
  • Tries it out
  • f(x)= 3x4+8x2
  • f(x)'= 12x3+16x
  • Shanon's friend left her due to lack of interest in their conversation.
  • Warnings and excitement
  • Remember: integer rules apply! A negative exponent and negative coefficient will make it positive!
  • She began to explain the process, though he left was confused.
  • You'd simply multiply the leading coefficient by the exponent, then subtract 1 from the exponent.
  • (x3+3)5
  • He begins to understand the concept.
  • So the next one would be 16x1 
  • 3*4=12, so thats your new leading coefficient, and 4-1=3 and thats your new exponent.
  • Now do the same with the next term.
  • Shanon explains when the power rule can be used.
  • I can't believe I understand how to do this!
  • Also, this can only be used when you're only adding/subtracting the terms
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