Encontrar a derivada da função [tex]g(x) = \frac{2}{5}\:.\:(5x-3)^{-1} \:.\:(5x+3)[/tex]. Um ajuda a.... Pergunta de ideia delaravieira23

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Encontrar a derivada da função [tex]g(x) = \frac{2}{5}\:.\:(5x-3)^{-1} \:.\:(5x+3)[/tex].

Um ajuda ai pessoal obrii

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Resposta:

g(x) = (2/5) * (5x+3)/(5x-3)

regra do quociente

g'(x) = (2/5) * [(5x+3)'*(5x-3) -(5x+3)*(5x-3)']/(5x-3)²

g'(x) = (2/5) * [5*(5x-3) -(5x+3)*5]/(5x-3)²

g'(x) = (2/5) * [25x-15 -25x-15]/(5x-3)²

g'(x) = (2/5) * [-30]/(5x-3)²

g'(x) = -12/(5x-3)²

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