f(x) = (x^3- 1)^1000

Posted by andi telaumbanua on Feb 11, 2018 in Matematika |

Tentukanlah turunan pertaman: f(x) = (x^3- 1)^1000 !

Jawab :

d [ f(x) ]^n/dx=(n[f(x) ]^(n-1) ) ( f^’ (x))

Maka :

d [(x^3- 1)^1000]/dx=(1000[(x^3- 1)]^(1000-1) ) ( 3x^2) = 1000(x^3- 1)^999 ( 3x^2) = 3000x^2 (x^3- 1)^999

for more detailed writing click on the following link Tentukanlah turunan pertamanya : f(x) = (x^3- 1)^1000 !

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