Quelpr
1 markDifferentiation I

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

Deduce, from first principles, the derivative with respect to x of y = sqrt(x).

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 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)).[5 marks]

More practice: the rest of this paper · more Differentiation I questions · all CAPE Pure Mathematics Unit 1 past papers