Question

Derivada: como derivar o seguinte quociente?

Answer 1

f(x) = √x /(x²-1)

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Regra do quociente:

f = u/v

f' =(u'*v-u*v')/v²

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#### (√x )'  = (1/2) * x^(1/2-1) = 1/(2√x)

#### (x²-1)'=2x

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d f(x) /dx  = [ (√x )'  * (x²-1) -  √x * (x²-1)' ] /(x²-1)²

d f(x) /dx  = [ ((1/(2√x)) * (x²-1))   -  √x * (2x) ] /(x²-1)²

***esta é a derivada , apagaram não sei o porquê ......