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Differentiate x^3 + 2x

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Problem

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Differentiate x^3 + 2x

This derivative uses the power rule.

Differentiate each term separately and then combine the result.

Worked route

One structured route through this exact problem.

  1. 1Differentiate x^3 to get 3x^2.
  2. 2Differentiate 2x to get 2.
  3. 3Combine the differentiated terms.
  4. 4The derivative is 3x^2 + 2.
Checks worth making

Use these quick checks before relying on the route.

  • Make sure the constant multiplier on 2x remains in the derivative.
  • Check that the power on x^3 reduced by 1 and multiplied the coefficient correctly.
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