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The derivative of 3x

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Answer to a math question The derivative of 3x

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Dexter
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1. Identify the function: f(x) = 3x

2. Apply the power rule of differentiation. The power rule states that for a function of the form f(x) = ax^n, the derivative is f'(x) = anx^{n-1}.

3. In this case, a = 3 and n = 1. Thus, the derivative of 3x is 3 \cdot 1 \cdot x^{1-1} = 3 \cdot x^0 = 3.

Therefore, the derivative of 3x is 3.

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