Determine the equation of the normal line to the curve at the point where .

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

Problem

Determine the equation of the normal line to the curve

y=\operatorname{arcsec}(2x)

at the point where

x=\dfrac12

Related theory

Theorems
Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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