Determine the equation of the tangent line to the graph of at .

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

Problem

Determine the equation of the tangent line to the graph of y=arcsec⁡(2x)y=\operatorname{arcsec}(2x) at x=1x=1. (a) y−π3=−13 (x−1)y-\dfrac{\pi}{3}=-\dfrac{1}{\sqrt{3}}\,(x-1) (b) y−π3=13 (x−1)y-\dfrac{\pi}{3}=\dfrac{1}{\sqrt{3}}\,(x-1) (c) y−π3=23 (x−1)y-\dfrac{\pi}{3}=\dfrac{2}{\sqrt{3}}\,(x-1) (d) y−π3=3 (x−1)y-\dfrac{\pi}{3}=\sqrt{3}\,(x-1)

Related theory

Browse the problem library