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Differentiation (P1)

1.4

What the syllabus asks of you

  • The derivative of f(x) as the gradient of the tangent to the graph of y = f(x) at a point; the gradient of the tangent as a limit; interpretation as a rate of change; second order derivatives.
  • Differentiation of xn, and related sums, differences and constant multiples.
  • Applications of differentiation to gradients, tangents and normals.

Read the notes first

Chapter 7: Differentiation

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Drill this topic

All 15 questions on Differentiation (P1), untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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15 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.