Reflection #14

The Holidays go by way too fast. Here's a review on how to do the shortcut to taking the derivative of simple equations.

- Rule number 1 -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 6 x^5

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