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← 4.2 Differentiation (I)

The power rule for polynomials

Mathematics · Grade 11 · about 40 minutes

Differentiate x^3 from first principles, then use n x^(n-1) for positive whole powers, with sums and constant multiples.

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Other lessons in this sub-strand

  1. Gradient of a straight line
  2. Average rate of change
  3. The tangent and an instantaneous rate
  4. The derivative from first principles
  5. The power rule for polynomials
  6. The gradient at a chosen point
  7. Equation of a tangent
  8. Equation of a normal
  9. Velocity from displacement
  10. Acceleration, and finding a time