Which of the following expressions is the derivative of with respect to ?

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Which of the following expressions is the derivative of y=arctan⁡xy=\arctan x with respect to xx? (a) −11+x2-\dfrac{1}{1+x^{2}} (b) 11+x2\dfrac{1}{1+x^{2}} (c) x1+x2\dfrac{x}{1+x^{2}} (d) 11−x2\dfrac{1}{\sqrt{1-x^{2}}}

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