Problem

Find the derivative of the function f(x)=4x39x2+2x1x

Answer

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Answer

Simplify to find the derivative: f(x)=10x2272x+x12x

Steps

Step 1 :First, rewrite the function as f(x)=4x529x32+2x12x12

Step 2 :Apply the power rule to find the derivative of each term: f(x)=524x521329x321+122x121+12x121

Step 3 :Simplify to find the derivative: f(x)=10x2272x+x12x

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