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Quotients of functions

Quotients of functions

5 marks
TGM Original
Given y= x2 - 1x + 1, x!= -1, find dydx. Explain why cancelling a factor does not allow x=-1 back into the original domain.

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{2 x}{x + 1} - \dfrac{x^{2} - 1}{\left(x + 1\right)^{2}}\)

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