Question

2.f(x)=6x^-3 +4x^3 -x derivada

Answer 1

Respuesta:

f(x) = 6x^(-3)+4x^(3)-x

f ' (x) = d/dx [ ( 6x^(-3)+4x^(3)-x ) ]

f ' (x) = d/dx [ ( 6x^(-3)) ]+d/dx [ (4x^(3)) ]-d/dx[ (x) ]

f ' (x) = ( 6×d/dx [ (x^(-3)) ] )+4×d/dx [ ( x^(3)) ] - d/dx [ (x) ]

f ' (x) = ( 6×(-3(x)^(-3-1)))+4( 3(x)^(3-1))-1

f ' (x) = (( 6(-3) )×(x^(-4))+4(3x^2)-1

f ' (x) = -18x^(-4)+12x^2-1 ; x^(-4) = (1/(x)^(4))

f ' (x) = ( (-18)/(x^4))+12x^2-1

R// La derivada de la función f(x) = 6x^(-3)+4x^(3)-x es f ' (x) = ( (-18)/(x^4))+12x^2-1 .

Espero ello te sirva.

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