Sunday, September 19, 2010

Reflection #5 Terrio

This week we learned the shortcut method for Derivatives...
Notes:-Rule number1-Constant Rule-the derivative of any constant is always zero. Rule number 2-Power Rule-take the exponent and bring it to the front of the variable, then take the exponent and subtract it by one.

-Example of Constant Rule: y=7 the constant rule says the derivative of any constant is zero, so the derivative is zero.

-Example of Power Rule: f(x)=x^6 move the 6 to the front and subtract one from the exponent and your derivative would be 6x^5

The next day we learned how to find the derivative of sin and cos...
If you have cos(x) then the derivative is sin(x). When you have sin(x) the derivative is -cos(x)

-Example:

y = 8cos(x) You change the cos(x) to -sin(x) and you would get y=8(-sin)(x). Then you get y=-8sin(x). So the derivative is y=-8sin(x).

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