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Encontrar a derivada dda função a seguir : f(x)=5+×+3×^2​

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Encontrar a derivada dda função a seguir : f(x)=5+×+3×^2​

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Tai

f(x)= \frac{x-1}{x-2}

Regra do quociente

u=x-1~~~~~~u'=1\\v=x-2~~~~~~v'=1

f'(x)= \frac{u'v-uv'}{v^2}

f'(x)= \frac{1(x-2)-(x-1)1}{(x-2)^2}

\boxed{f'(x)=- \frac{1}{(x-2)^2} }


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