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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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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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