OCR C1 2006 June — Question 1

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2006
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial
1 The points \(A ( 1,3 )\) and \(B ( 4,21 )\) lie on the curve \(y = x ^ { 2 } + x + 1\).
  1. Find the gradient of the line \(A B\).
  2. Find the gradient of the curve \(y = x ^ { 2 } + x + 1\) at the point where \(x = 3\).
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