Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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### Calculus Problem Set --- **Problem (d):** Let \( y(x) = [\tan^{-1} (\sqrt{x})]^{-4} \). Find \( y' \). --- **Problem (e):** Let \( g(x) = \sqrt{x} \cdot \ln (3x) \). Find \( g'(x) \). --- **Problem (f):** Compute \( \frac{d}{dt} \left[ \frac{t^2 - 5t + 3}{\cot (t^2 + 1)} \right] \). ---
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Transcribed Image Text:### Calculus Problem Set --- **Problem (d):** Let \( y(x) = [\tan^{-1} (\sqrt{x})]^{-4} \). Find \( y' \). --- **Problem (e):** Let \( g(x) = \sqrt{x} \cdot \ln (3x) \). Find \( g'(x) \). --- **Problem (f):** Compute \( \frac{d}{dt} \left[ \frac{t^2 - 5t + 3}{\cot (t^2 + 1)} \right] \). ---
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