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Back to The Chain Rule

Exercise 4

Avg difficulty 2.5

Consider the function k(θ)=sin⁡−1(sin⁡(θ))\fe{k}{\theta}=\fe{\sin^{-1}}{\fe{\sin}{\theta}}.

What is the constant value of k′(θ)\fe{\fd{k}}{\theta} over (π2,3π2)\ointerval{\frac{\pi}{2}}{\frac{3\pi}{2}}?

Simonds, Calculus Lab Manual, §6.5 Supplement, Exercise 4

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Adapted from Calculus Lab Manual © 2012–2016 Portland Community College. Licensed under CC BY-SA 4.0. Source: Calculus Lab Manual. Imported at revision 3060f8e.