# 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
• ﻿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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