The answers are in Chapter 24.

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

Problem

The answers are in Chapter 24. (A) dydx=12(2xsec⁡xtan⁡x)−12\frac{d y}{d x}=\frac{1}{2}\left(\frac{2 x}{\sec x \tan x}\right)^{-\frac{1}{2}} (B) dydx=(2xsec⁡xtan⁡x)12\frac{d y}{d x}=\left(\frac{2 x}{\sec x \tan x}\right)^{\frac{1}{2}} (C) dydx=12(sec⁡x(2x)−(x2)sec⁡xtan⁡xsec⁡2x)−12\frac{d y}{d x}=\frac{1}{2}\left(\frac{\sec x(2 x)-\left(x^{2}\right) \sec x \tan x}{\sec ^{2} x}\right)^{-\frac{1}{2}} (D) dydx=12(x2sec⁡x)−12(sec⁡x(2x)−(x2)sec⁡xtan⁡xsec⁡2x)\frac{d y}{d x}=\frac{1}{2}\left(\frac{x^{2}}{\sec x}\right)^{-\frac{1}{2}}\left(\frac{\sec x(2 x)-\left(x^{2}\right) \sec x \tan x}{\sec ^{2} x}\right)

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