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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


What is the derivative of 5 divided by x?

Well if you have 5/X then you can rewrite this like 5x-1. And the derivative to that is -5x-2 and that can be rewrote to: -(5/x2).


What is the anti derivative of x divided by x squared minus 1?

The antiderivative of x/(x2-1) is ln(x2-1)/2. Proof: (ln(x2-1)/2)' = (1/(x2-1))*(x2-1)'/2=1/(x2-1)*(2x/2)=x/(x2-1).


What is the derivative of the square root of x squared plus 9?

d/dx (x2+ 9)1/2= 1/2*(x2+ 9)-1/22x = x(x2+ 9)-1/2or x/(x2+ 9)1/2


What is the answer to x cubed plus 3x squared plus 3x plus 2 divided by x plus 2?

x3+3x2+3x+2 divided by x+2 equals x2+x+1


What is the derivative of -2X2?

(-2 x2)' = -4 x


What is the remainder when x2 plus 4 is divided by x-2?

The remainder is 8. (x2 + 4)/(x - 2) = (x + 2) + 8/(x - 2) or x2 + 4 = (x - 2)(x + 2) + 8


What is xcubed minus 7xsquared plus 8x plus 16 divided by x plus 1?

Answer is x2 -6x+14 with remainder 2


Quotient and remainder of 3X4 plus 2X3 minus X2 minus x minus 6 divided by X2 plus 1?

(3x4 + 2x3 - x2 - x - 6)/(x2 + 1)= 3x2 + 2x - 4 + (-3x - 2)/(x2 + 1)= 3x2 + 2x - 4 - (3x + 2)/(x2 + 1)where the quotient is 3x2 + 2x - 4 and the remainder is -(3x + 2).


Find the second derivative for the square root of x2 - 3?

-1


X plus 4 x plus 2 simplfied?

x4 +x2 =x2 (x2+1)


What the derivetive of x2?

Any monomial in the format: axn has a derivative equal to: nax(n - 1) In this case, "a" is equal to 1 and "n" is equal to 2. So the derivative of x2 is equal to 2x.