Question: Find the derivative of the function. f( X ) = _ + 1 x +x +1 16 6 Step 1 From the text, the derivative

Find the derivative of the function. f( X ) = _ + 1 x +x +1 16 6 Step 1 From the text, the derivative of x", where n is any real number, is given by the Power Rule. d ( x ) = nx n- 1 dx Step 2 Our function is a sum of such functions. We take the derivative of f(x) using the Power Rule and the fact that [h ( x ) + g (x) ] = h' (x ) + g'(x). dx [f ( x ) ] = . d 1 8 4 1x6 + x + 1 dx dx 16 6 X

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