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Find the following using the rule indicated (only): i) If f(x) = (6x? – 8) (3x + 2), find f'(3) using the product rule (do r two polynomials). 5x + 5 ii) If g(x) find g'(3) using the quotient rule (round to four 2x + 5 iii) If h(x) = V 2x2 + 5x + 5 , find h'(3) using the chain rule (round

Find the following using the rule indicated (only): i) If f(x) = (6x? – 8) (3x + 2), find f'(3) using the product rule (do r two polynomials). 5x + 5 ii) If g(x) find g'(3) using the quotient rule (round to four 2x + 5 iii) If h(x) = V 2x2 + 5x + 5 , find h'(3) using the chain rule (round

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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**Find the following using the rule indicated (only):** i) If \( f(x) = (6x^2 - 8)(3x + 2) \), find \( f'(3) \) using the **product rule** (do not multiply or expand the two polynomials). ii) If \( g(x) = \frac{5x + 5}{2x + 5} \), find \( g'(3) \) using the **quotient rule** (round to four decimal places). iii) If \( h(x) = \sqrt{2x^2 + 5x + 5} \), find \( h'(3) \) using the **chain rule** (round to four decimal places).
Transcribed Image Text:**Find the following using the rule indicated (only):** i) If \( f(x) = (6x^2 - 8)(3x + 2) \), find \( f'(3) \) using the **product rule** (do not multiply or expand the two polynomials). ii) If \( g(x) = \frac{5x + 5}{2x + 5} \), find \( g'(3) \) using the **quotient rule** (round to four decimal places). iii) If \( h(x) = \sqrt{2x^2 + 5x + 5} \), find \( h'(3) \) using the **chain rule** (round to four decimal places).
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