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Differentiate 4x^2 - 7

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Problem

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Differentiate 4x^2 - 7

This derivative uses the power rule and the constant rule.

The constant term disappears after differentiation.

Worked route

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  1. 1Differentiate 4x^2 by multiplying 4 by 2 and reducing the power by 1.
  2. 2That gives 8x.
  3. 3Differentiate the constant -7 to get 0.
  4. 4So the derivative is 8x.
Checks worth making

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  • Make sure the constant term does not appear in the final derivative.
  • Check that the power was reduced correctly from 2 to 1.
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