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CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 1 · Question 11(a)

Use the result that (sqrt(x + h) + sqrt(x))(sqrt(x + h) - sqrt(x)) = h to show that lim_{h -> 0} (sqrt(x + h) - sqrt(x)) / h = 1 / (2 sqrt(x)).

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  1. 11(b)Deduce, from first principles, the derivative with respect to x of y = sqrt(x).[1 mark]

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