Turunan pertama dari f(x) = (1 + 1/x^2 )(1+1/x^3 )

Posted by andi telaumbanua on Jul 28, 2018 in Matematika |
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Turunan pertama dari f(x) = (1 + 1/x^2 )(1+1/x^3 )

Jawab:

f(x) = U*V

f^’ (x)= U^’ V* UV^’

Maka:

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

f^’ (x)=((0-2x)/x^4 )((0-3x)/x^6 )

f^’ (x)=(2x/x^4 )(3x/x^6 )

f^’ (x)=((6x^2)/x^10 )

f^’ (x)=(6/x^8 )

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