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poin If g(u) —D V9u + 3 then g' (u) =

poin If g(u) —D V9u + 3 then g' (u) =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question:** (1 point) If \[ g(u) = \sqrt[3]{9u + 3} \] then \[ g'(u) = \, ? \] **Instructions:** To find the derivative \( g'(u) \) of the function \( g(u) = \sqrt[3]{9u + 3} \), apply the chain rule. Rewrite the function as \( g(u) = (9u + 3)^{1/3} \) to make differentiation straightforward. Then, differentiate using the power rule and chain rule.
Transcribed Image Text:**Question:** (1 point) If \[ g(u) = \sqrt[3]{9u + 3} \] then \[ g'(u) = \, ? \] **Instructions:** To find the derivative \( g'(u) \) of the function \( g(u) = \sqrt[3]{9u + 3} \), apply the chain rule. Rewrite the function as \( g(u) = (9u + 3)^{1/3} \) to make differentiation straightforward. Then, differentiate using the power rule and chain rule.
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