f x g x f x g x f x g x Many like to remember that the derivative of a product is the derivative of the first function times f x g x f x g x f x derivative of first second first derivative of second g x dx For the given equation y 2x 5x2 1 if we let f x 2x and g x 5x21 then y 2x 5x g x 5x 1 as the second function Note that since y is the product of two differentiable functions we can use the product rule to find As a precursor to using the product rule complete the following statements If f x 2x then f x 2 If g x 5x 1 then g x 10x A 2 10 r 3 Step 2 With f x 2x f x 2 g x 5x2 1 and g x 10x we are now ready to substitute these continue to simplify
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