Problem

Let \( f(x) = 3x^2 + 5x - 2 \). Find \( f'(2) \) and then divide it by 2.

Answer

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Answer

Finally, we divide 17 by 2 to get the final answer.

Steps

Step 1 ：First, we need to find the derivative of \( f(x) \), which is \( f'(x) \).

Step 2 ：By using the power rule of differentiation, we have \( f'(x) = 6x + 5 \).

Step 3 ：Then, we substitute 2 into \( f'(x) \) and we get \( f'(2) = 6*2 + 5 = 17 \).

Step 4 ：Finally, we divide 17 by 2 to get the final answer.

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