differentiation_formulas

differentiation_formulas - Differentiation Formulas This...

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Differentiation Formulas This page contains a list of commonly used differentiation formulas. x 1. Derivative of a Constant (k): [] 0 d k dx = 2. Constant-Multiple Rule: () ' d kfx kf x dx ⋅= 3. Sum/Difference Rule: [() ] ' ' d f xg x f x dx ±=± 4. Power Rule: 1 rr d x rx dx ⎡⎤ = ⎣⎦ 5. Product Rule: [ ()() ] () ' ' d f xgx f xg x gx f x dx =+ 6. Quotient Rule: 2 ' () () ' df x fx g x f x dx g x gx = ⎢⎥ 7. Reciprocal Rule: 2 1' ] dg dx g x g x = ( ) x 8. Chain Rule: () ' () ' d f gx f gx g x dx = 9. x d ee dx = 10. 1 ln( ) ( 0) d xx dx x = > 11. ln d aaa dx =⋅ 12. 1 log ln a d x dx x a = 13. sin cos d x x dx = 14. cos sin d x x dx =− 15. 2 tan sec d x x dx = 16. sec sec tan d x dx = 17. csc csc cot d x dx 18. 2 cot csc d x x dx 19. 1 2 1 sin 1 d x dx
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This note was uploaded on 06/17/2008 for the course M 408 L taught by Professor Cepparo during the Spring '08 term at University of Texas.

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