For , let . Which of the following is the correct formula for…

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

Problem

For x>1x>1, let y=arcsec⁡xy=\operatorname{arcsec} x. Which of the following is the correct formula for dydx\dfrac{dy}{dx}? (a) −1xx2−1-\dfrac{1}{x\sqrt{x^{2}-1}} (b) 1xx2−1\dfrac{1}{x\sqrt{x^{2}-1}} (c) 1x2−1\dfrac{1}{\sqrt{x^{2}-1}} (d) 1xx2+1\dfrac{1}{x\sqrt{x^{2}+1}}

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