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Worksheets

Cálculo de Derivadas

Total questions: 90

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

y = 5x^6 - 3x^5 + 3x^3 - 22

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2.

y = x^-4 + 2x^-3 + x - 4

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3.

x^3 + x^2 + x^3 = y

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4.

3 + x - x^3 = y

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5.

y = 4 sen(x) - 3 cos(x)

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6.

x + x^2 + x^2 = y

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7.

y = 4x^3 + 2x^3 - x^3 + 48x^3 - x^2

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8.

y = cos(3x)

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9.

y = cos^2(x^3)

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10.

y = sen(3x^2 - 2x)

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11.

y = cos(x^2)

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12.

y = sen^3(2x^2)

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13.

y = cos^4(3x^4)

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14.

y = 3 sen^2(2x - 3)

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15.

y = cos^5(3x^2)

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16.

y = cos(sen(x))

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17.

y = cos^2(sen(3x))

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18.

3^2x = y cos

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19.

3^2)x = y cos

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20.

3x - x = y^2

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21.

3^2)3x - x = y

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22.

(3x - x^2) = y

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23.

3^2x sen = y

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24.

5 sen(3x) = y

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25.

sen(x) - 3x = y

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26.

(x - 1 - x^3) = y

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27.

(5x - x^3 sen) = y

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28.

1 - (x + x sen) = y

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29.

(x^3 - x) = y

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30.

5x = y

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31.

x^5 = y

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32.

4^3x - x = y

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33.

x^3 - x = y

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34.

3(3x - x) = y

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35.

x^3(1 - x) = y

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36.

1 - x = y

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37.

x^3 = y

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38.

x^9 + x^15 - x^30 = y

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39.

1 + x^6 - x^4 = y

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40.

x^3 - x + x^30 = y

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41.

π - x . 3 = y

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42.

x sen^3 + x^4 = y

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43.

x^5 + x^2 - x = y

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44.

x^15 = y

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45.

x^2 - x sen^2 = y

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46.

sen(3x) = y

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47.

x^3 . sen(x) = y

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48.

2 - (6x . 2x) = y

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49.

2x . sen(-) = y

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50.

4x . (2 . sen^3) = y

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51.

x^12 . sen(3 - x) = y

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52.

2 . 3 - (2x . 3) - sen(2x) = y

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53.

6x . (-sen(3) . x) = y

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54.

cos(x) . sen(sen(x)) = y

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55.

3 . 3x . x) = y

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56.

3 . 2x . sen(x) = y

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57.

3x - x^2 = y

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58.

sen(senx)- = y′

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59.

3 senx. cosx 2- = y cos′

4 lines
60.

3x- x 2 3-2x = y 2′

4 lines
61.

3 senx cosx senx2 = y′

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62.

senx- 3x 2 cosx - 3 = y′

4 lines
63.

1-3x = y′

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64.

3x- x 3 - 2x = y 2′

4 lines
65.

2-x 2-x 2 1 = y′

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66.

x tgx 6 = y 2 cos′

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67.

senx e - x 2x e = y xx 22 cos′

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68.

Deriva de 2x^3 - x^2 + 2x = y

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69.

Deriva de cos(x) - (2x * e^x) = y

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70.

Deriva de sen(x) - x * sen(x) = y

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71.

Deriva de (3 * n * l) - 3x = y

4 lines
72.

Deriva de e^(sen(x)) - e^(x) = y

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73.

Deriva de 1 - (x * sen(x)) = y

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74.

Deriva de (5x + 1) * arctg(5x) = y

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75.

Deriva de x * sen(x) + 1 = y

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76.

Deriva de 3 * n * l + 1 = y

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77.

Deriva de (3 - 4x) * tg(x) - sen(x) = y

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78.

Deriva (x n (l + 1) x 1 . 4 = y 2 x) n (l arctg

4 lines
79.

Deriva (x 2)+(x 2x- x . x 2+x 3 . x 2+x 1 = y 4 2 2 2 2 3

4 lines
80.

Deriva (senx e . x sen cosx e - senx e 3 e senx x + senx e x n l 2x = y 3x x 2 3x3x 3x 2 3x 2

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81.

Deriva (cosx - (3x senx)+ (3 ) e - (senx - cosx) - (3x ) e - (cosx 10 n l . 10 = y 2 xx cosx-3x e -senx x

4 lines
82.

Deriva (x) n (l sen x 1 . x) n (l . xtg - x) n sen(l. x2 1 . x 1 . x) n (l sen x tg sen- = y 2 2 cos cos

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83.

Deriva (x n (l x 1)x n (l 3 x - )x n (l x x cosx + nx n l senx- = y 6 2 cosx 3 cosx

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84.

Deriva (2 3 3 n l . 2x . 3 . tgx - x 3 tgx 3 . ) e (4 + 3 tgx n l . e 4 . ) e (-sen(4 . ) e (4 2 = y x x 2 x x x2 x xxx 2 2 2 2 2 cos cos cos

4 lines
85.

Deriva (5 5 n l (-senx) 5 . e - 5 . cosx senx- e . 5 e 2 1 =y cosx 2 cosx(cosx) n lcosx(cosx) n l cosx (cosx) n l

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86.

Deriva (cosx)arctg (-senx) . x + 1 1 . ) e (sen - )arctg(cosx . e . ) e ( . ) e sen(2 . x) ( arctg ) e (sen 3 1 = y 2 2 x2xxx 3 x2 cos cos cos

4 lines
87.

Deriva e x 1 . e . e 2 1 . x . ) e ( - e . x . ) e ( ) e ( + x e ) e sen(- = y tgx 2 tgx tgx xtgx x xxx cos cos cos cos

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88.

Deriva () x + ) e ( tg . x + tge 2x + ) e ( e x + ) x + tge( = y 2x x 2 x x2 x 2 x

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89.

Deriva (x)- x (n l x- x 1-2x cosx) e (arctg - x)- x ( n l senx e arctg - cosx ) e ( + 1 e . x)- x ( n l x . e arctg 2 1 = y 22 2 x2x 2 x x 2 x

4 lines
90.

Deriva sen (e cosx ) ) e (-senx) cosx sen( e ) - l n 2 cosx - senx cosx 1 y′ = 2 cosx cos x cos( e cosx

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