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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...
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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