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

Problem

If y=(x+x2+a2)ny = (x + \sqrt{x^2 + a^2})^n, then dydx\frac{dy}{dx} is (a) nyx2+a2\frac{ny}{\sqrt{x^2 + a^2}} (b) −nyx2+a2-\frac{ny}{\sqrt{x^2 + a^2}} (c) nxx2+a2\frac{nx}{\sqrt{x^2 + a^2}} (d) −nxx2+a2-\frac{nx}{\sqrt{x^2 + a^2}}

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