Find the equation of the line normal to at .

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

2. Find the equation of the line normal to y=4sec⁡(2x)y=4 \sec (2 x) at x=π8x=\frac{\pi}{8}. (A) y+42=82(x−π8)y+4 \sqrt{2}=8 \sqrt{2}\left(x-\frac{\pi}{8}\right) (B) y−42=−82(x−π8)y-4 \sqrt{2}=-8 \sqrt{2}\left(x-\frac{\pi}{8}\right) (C) y+42=−182(x+π8)y+4 \sqrt{2}=-\frac{1}{8 \sqrt{2}}\left(x+\frac{\pi}{8}\right) (D) y−42=−182(x−π8)y-4 \sqrt{2}=-\frac{1}{8 \sqrt{2}}\left(x-\frac{\pi}{8}\right)

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