Welcome to Calc I! Do More Thinking/Singing, Less Writing - Hi,
- This class, we use the basic derivatives to compute more sophisticated derivatives &
- cut down on the required pencil & paper computation of high school calc.
- Recall, "The derivative of the sine is the cosine."
- Recall, "The derivative of e to-the-x is e to-the-x."
- So the derivative of the product sin(x)ex may be sung (as in the
Take A Derivative by Singing! video)
- and the parenthises simply filled in.
- y = sin(x)ex
- y' = (the derivative of the first) times (the second) + (the derivative of the second) times (the first)
- y' = ( )( ) + ( )( )
- y' = (cos(x))(ex) + (ex)(sin(x))
- y' = (ex)( cos(x) + sin(x))
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- I'm not the only one who sings derivatives. Check out the beautiful video listed below.
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- Contact me through the pink box on
www.mathnstuff.com/math/math.htm -
- Stay safe, A2
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