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MathsAges 16–18English

Power-rule warm-up

Differentiate simple powers with respect to x. Teacher checks the reasoning after each reveal.

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  1. Differentiate x^3 with respect to x.
    Show answer

    3x^2

  2. Differentiate 5x^2 with respect to x.
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    10x

  3. Differentiate 4x with respect to x.
    Show answer

    4

  4. Differentiate x^4 with respect to x.
    Show answer

    4x^3

  5. Differentiate 7 with respect to x.
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    0

  6. Differentiate 2x^3 - x with respect to x.
    Show answer

    6x^2 - 1