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Following the correct order of operations: derivative of x^2 + 6/2 = derivative of x^2 +3, which equals 2x

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Q: What is the derivative of x2 plus 6 divided by 2?
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What is the anti derivative of x squared plus x?

The anti-derivative of X2 plus X is the same as the anti-derivative of X2 plus the anti-derivative of X. The anti derivative of X2 is X3/3 plus an integration constant C1 The anti derivative of X is X2/2 plus an integration constant C2 So the anti-derivative of X2+X is (X3/3)+(X2/2)+C1+C2 The constants can be combined and the fraction can combined by using a common denominator leaving (2X3/6)+(3X2/6)+C X2/6 can be factored out leaving (X2/6)(2X+3)+C Hope that helps


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