TABLA DE FORMULAS DE DERIVACION

1. DX c=02. DX x=13. DX (u+v−w )=u '+v '−w '

4. DX (c ∙ v)=c ∙ v'

5. DX (u ∙ v)=u∙ v'+u' ∙ v

6. DX vn=n ∙ vn−1 ∙ v '

7. DX ( uv )=u' ∙ v−u ∙ v '

v2

8. DX (uc )=u'

c

9. DX ( cun )=−c ∙n ∙ u'

un+1

10. DX y=D yD x v

11. DX y=1D y x

12. DX ( ln v )= v'

v

13. DX ( loga v )= v'

v∙ loga e

14. DXav=v ' ∙ av ∙ ln a

15. DX (ev)=v ' ∙ev

16. DX (uv )=u ∙ vv−1

17. DX (sin v )=v' ∙cosv18. DX (cos v )=−v ' ∙ sin v19. DX ( tan v )=v ' ∙ sec2 v20. DX (cot v )=−v ' ∙ csc2 v21. DX ( sec v )=v ' ∙ sec v ∙ tan v22. DX (csc v )=−v ' ∙ csc v ∙cot v

23. DX (sin−1 v )= v '

√1−v2

24. DX (cos−1 v )= −v '

√1−v2

25. DX ( tan−1 v )= v'

1+v2

26. DX (cot−1 v )= −v '

1+v2

27. DX ( sec−1 v )= v'

|v|∙√v2−128. DX (csc−1 v )= −v '

|v|∙√v2−1