Question

The derivative of 3x

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82 Answers

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

2. Apply the power rule of differentiation. The power rule states that for a function of the formf(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 of3x is 3 .

2. Apply the power rule of differentiation. The power rule states that for a function of the form

3. In this case,

Therefore, the derivative of

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