(a) f(x) = (x^4+ 3x^2 – 2)^50 (b) f(x) = (1+ x^4 )^2/3

Posted by andi telaumbanua on Feb 11, 2018 in Matematika |
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Tentukanlah turunan pertama dari setiap fungsi berikut:

(a) f(x) = (x^4+ 3x^2-2)^50

(b) f(x) = (1+ x^4 )^(2/3)

Jawab

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

Maka :

(a).

(d [x^4+ 3x^2-2)^50])/dx=[50(x^4+ 3x^2-2)^49] ( 4x^3+ 6x) = 50( 4x^3+ 6x) (x^4+ 3x^2-2)^49

(b).

(d [(1+ x^4 )^(2/3)] )/dx=[2/3(1+ x^4 )^(-1/3) ] ( 4x^3) = ( 2/(3(1+ x^4 )^(1/3) ) ) ( 4x^3) = (8x^3)/(3(1+ x^4 )^(1/3) ) = (8x^3)/(3√(3&1+ x^4 ))

for more detailed writing click on the following link Tentukanlah turunan pertama dari setiap fungsi berikut: f(x) = (x^4+ 3x^2-2)^50 f(x) = 〖(1+ x^4 )〗^(2/3)

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