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Solution assignment 18 Product and Quotient rule

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Assignment 18

Differentiate:

y=\displaystyle\frac{3}{x^2+1}

Solution

Here the quotient rule has to be applied with:

f'(x)=0

g'(x)=2x

and thus:

y'=\displaystyle\frac{(x^2+1)\cdot0-3(2x)}{(x^2+1)^2}=-\displaystyle\frac{6x}{(x^2+1)^2}

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