Calculo

Encuentre la derivada de las siguientes funciones:

F (x) = (11)4/5

13

F’ (x) = 4 (11)4/5 -1

5 13

F’ (x) = 4 (11) -1/5

5 13

F’ (x) = 4. (1.03397)

5

F’ (x) = o.8271

F’’ (x) = 0

F (t) = 3t -2

F’ (t) = 1

3t2

F’ (t) = 1

2.3t 2-1

F’ (t) = 1

6t

G (x) = ( √x-3+1) (√(4&x)-2 √x)

G’ (x) = (1x-1/2 – 3x1-1 + o) (∜x-2√x) + (1x-3/4 – 2. 1x-1/2) (√x-3x+1)

2 4 2

G’ (x) = (1x-1/2 – 3) (∜x-2√x) + (1x-3/4 – x-1/2) (√x-3x+1)

2 4

F (z) = 3z1/4 – 122 – 8z-3/4

F’ (z) = 3z 1/4-1 – 144 – 8z (-3) -3/4 -1

4 4

F’ (z) = 3z 1/4 -1 – 144 – (-6z -3/4 -1)

4

F’ (z) = 3z -3/4 - 144 – (-6z -7/4)

4

F’ (z) = 3z -3/4 + 6z -7/4

4

G (x) = 5x + 2

8

G’ (x) = (8) (5x 1-1 + 0) – (5x + 2) (0)

(8)2

G’ (x) = (8) (5) – 0

64

G’ (x) = 40

64

G’ (x) = 5

8

G’ (x) = 0

F (x) = 5 (x4 – 3)

F’ (x) = 5 (x4 – 3) + (x4 – 3) 5

F’ (x) = 0 (x4 – 3) + (4x3 – 0) 5

F’ (x) = 0 + 20x3

F’ (x) = 20x3

F’ (x) = 60x2

F’ (x) = 120x

F’ (x) = 0

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