Formulario matematicas

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PRODUCTOS NOTABLES

1. (x + a)(x + b) = x²+(a+ b)x+ab.

2. 2. (x + y)² = x² + 2xy + y²

3. (x-y)² = x² - 2xy + y²

4. (x + y) (x-y) = x² - y²

5. (x + y)³ = x³+3x²y + 3xy² + y³

6.(x-y)³ = x³ - 3x²y + 3xy² - y³

Factorización de polinomios

1. ax +ay + az = a (x+y+z).

2. x²- y² = (x + y) (x – y)

3. x² + 2xy + y² = (x + y)²

4. x² - 2xy + y² = (x-y)²

5. x³ + 3x²y +3xy² + y³ = (x + y)³

6. x³ - 3x²y + 3xy² - y³ = (x - y)³

7. x³ + y³ =(x + y)(x² - xy + y²)

8. x³ - y³ =(x - y)(x² - xy + y²)

Exponentes

1. [pic]

2. [pic] =[pic]

3. [pic] [pic]4. (ab)ⁿ = [pic]

5. a⁰ = 1

6. [pic]= [pic]

7. [pic] = [pic]

8. [pic] =[pic]

Radicales

1. [pic] = [pic]

Formula cuadrática

ax² + bx + c = 0

X = [pic]

Derivadas

1.[pic]= 0

2. [pic]= 1

3. [pic]= c [pic]

4. [pic]= [pic] + [pic] + [pic]

5. [pic]= n [pic]

6. [pic]= u [pic]+ v [pic]

7. [pic]=uv [pic]+vw[pic]+uw[pic]

8. [pic] =[pic]

9. [pic]=[pic]

10. [pic] =[pic]

11. [pic] =[pic] [pic]

12. [pic] = [pic]

13. [pic] = [pic]

14. [pic] = [pic]

15. [pic] = [pic] [pic]

16. [pic] = [pic]

17. [pic] = [pic]

18. [pic] = cosu [pic]

19. [pic] = -sen u [pic]

20. [pic] = sec² u [pic]

21. [pic] = -csc² u [pic]

22. [pic] = sec u tan u [pic]

23. [pic] = -csc u cot u [pic]

24. [pic] = [pic]

25. [pic] =[pic]

26. [pic] = [pic]

27. [pic] = [pic]

28. [pic] = [pic]

29. [pic] = [pic]

30. [pic] = cosh u [pic]

31. [pic] = senh u [pic]

32. [pic] = sech² u [pic]

33. [pic] = -csch² u[pic]

34. [pic] = -sech u tanh u [pic]

35. [pic] = -csch u coth u [pic]

Integrales

1. ∫dx = x + c

2. ∫cdu = c∫du

3. ∫(du+dv+dw) =∫du+∫dv)+∫dw

4. [pic] + C

5. [pic] = ln |u| + C6. [pic] + C

7. [pic]

8. ∫sen u du = - cos u + C

9. ∫cos u du = sen u + C

10. ∫tan u du = In |sec u| + c

11. ∫cot u du = In |sen u| + c

12. ∫ sec u du = In |sec u+tanu|+ c...
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