Problem

Let f(x)=3x2+5x2. 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)=62+5=17.

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

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