Respuesta:
Explicación paso a paso:
f(x)=(4-3x)/(3x^2+x)
f'(x)=((-3)(3x^2+x)-(4-3x)(6x+1))/(3x^2+x)^2
f'(x)=((-9x^2-3x)+(18x^2-21x-4)/(3x^2+x)^2
f'(x)=-(27x^2-18x-4)/(3x^2+x)^2
f'(x)=-(27x^2-18x-4)/(9x^4+6x^3+x^2)
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Respuesta:
Explicación paso a paso:
f(x)=(4-3x)/(3x^2+x)
f'(x)=((-3)(3x^2+x)-(4-3x)(6x+1))/(3x^2+x)^2
f'(x)=((-9x^2-3x)+(18x^2-21x-4)/(3x^2+x)^2
f'(x)=-(27x^2-18x-4)/(3x^2+x)^2
f'(x)=-(27x^2-18x-4)/(9x^4+6x^3+x^2)