AP

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

Problem

If y=tan⁡−14x1+5x2+tan⁡−12+3x3−2xy = \tan^{-1} \frac{4x}{1+5x^2} + \tan^{-1} \frac{2+3x}{3-2x} , then dydx=\frac{dy}{dx} = (a) 11+25x2+21+x2\frac{1}{1+25x^2} + \frac{2}{1+x^2} (b) 51+25x2+21+x2\frac{5}{1+25x^2} + \frac{2}{1+x^2} (c) 51+25x2\frac{5}{1+25x^2} (d) 11+25x2\frac{1}{1+25x^2}

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