If , then is equal…

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

Problem

If y=∑r=1xtan⁡−1(11+r+r2)y=\sum_{r=1}^{x}\tan^{-1}\left(\frac{1}{1+r+r^2}\right), then dydx\frac{dy}{dx} is equal to (1) 11+x2\frac{1}{1+x^2} (2) 11+(1+x)2\frac{1}{1+(1+x)^2} (3) 00 (4) None of these

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