AP Calculus ABeasymcq1 pt

Which of the following is ddx[arctanx]\dfrac{d}{dx}\left[\arctan x\right]?

A.11x2\dfrac{1}{\sqrt{1-x^2}}
B.x1+x2\dfrac{x}{1+x^2}
C.11+x2-\dfrac{1}{1+x^2}
D.11+x2\dfrac{1}{1+x^2}

Explanation

Core Concept

The derivative of arctanx\arctan x is the standard formula 11+x2\frac{1}{1+x^2}.

Correct Answer

D11+x2\dfrac{1}{1+x^2}

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