2311_Derivative_Formulas_and_Trig_Idents_Formula_Sheet_F11

2311_Derivative_Formulas_and_Trig_Idents_Formula_Sheet_F11...

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MAC2311 Derivative Formulas Stewart 6 th Edition 1. For any constant function y = c , [ ] 0 d c dx = . For linear function y = x , [ ] 1 d x dx = . 2. (General) Power Rule : For any real number n , 1 n n d x nx dx - = . 3. Consider functions ( ) f x , ( ) g x , and constant c . Constant Multiple Rule : ( ) ( ) or simply d d cf x c f x cf dx dx = Sum Rule : ( ) ( ) ( ) ( ) or simply d d d f x g x f x g x f g dx dx dx + = + + Difference Rule : ( ) ( ) ( ) ( ) or simply d d d f x g x f x g x f g dx dx dx - = - - 4. x x d e e dx = . In general, ln x x d b b b dx = . 5. Product Rule : ( ) ( ) ( ) ( ) ( ) ( ) d d d f x g x f x g x g x f x f g g f dx dx dx = + = + 6. Quotient Rule : ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 d
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2311_Derivative_Formulas_and_Trig_Idents_Formula_Sheet_F11...

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