Derivative of x³ + 2x

Step-by-step solution

1. 1

   Separate the sum

   The derivative of a sum is the sum of the derivatives.

2. 2

   Differentiate x³

   Multiply by the exponent and reduce the exponent by one.

   $$rac{d}{dx}x^3=3x^2$$
3. 3

   Differentiate 2x

   The derivative of ax is the constant a.

   $$rac{d}{dx}(2x)=2$$
4. 4

   Combine

   Add the two derivative terms.

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