Formulas - CSSS 505 Calculus Summary Formulas...

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Unformatted text preview: CSSS 505 Calculus Summary Formulas Differentiation Formulas 1. 1 ) ( − = n n nx x dx d 17. dx du dx dy dx dy × = Chain Rule 2. f g g f fg dx d ′ + ′ = ) ( 3. 2 ) ( g g f f g g f dx d ′ − ′ = 4. ) ( )) ( ( )) ( ( x g x g f x g f dx d ′ ′ = 5. x x dx d cos ) (sin = 6. x x dx d sin ) (cos − = 7. x x dx d 2 sec ) (tan = 8. x x dx d 2 csc ) (cot − = 9. x x x dx d tan sec ) (sec = 10. x x x dx d cot csc ) (csc − = 11. x x e e dx d = ) ( 12. a a a dx d x x ln ) ( = 13. x x dx d 1 ) (ln = 14. 2 1 1 ) sin ( x x Arc dx d − = 15. 2 1 1 ) tan ( x x Arc dx d + = 16. 1 | | 1 ) sec ( 2 − = x x x Arc dx d Trigonometric Formulas 1. 1 cos sin 2 2 = + θ θ 2. θ θ 2 2 sec tan 1 = + 3. θ θ 2 2 csc cot 1 = + 4. θ θ sin ) sin( − = − 5. θ θ cos ) cos( = − 6. θ θ tan ) tan( − = − 7. A B B A B A cos sin cos sin ) sin( + = + 8. A B B A B A cos sin cos sin ) sin( − = − 9. B A B A B A sin sin cos cos ) cos( − = + 10. B A B A B A sin sin cos cos ) cos( + = − 11. θ θ θ cos sin 2 2 sin = 2 12. θ θ θ θ θ 2 2 2 sin 2 1 1 cos 2 sin cos 2 cos − = − = − = 13....
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Formulas - CSSS 505 Calculus Summary Formulas...

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