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Calculate G' (-4) to 3 significant figures where G(x) = (-4x – 2)'°(-2x² + 1x + 4)12

Calculate G' (-4) to 3 significant figures where G(x) = (-4x – 2)'°(-2x² + 1x + 4)12

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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* For the final answer, it should be multiplied all out and rounded to two decimal places

**Problem Statement:** Calculate \( G'(-4) \) to 3 significant figures where \[ G(x) = (-4x - 2)^{10}(-2x^2 + 1x + 4)^{12} \] **Instructions:** To solve this problem, you will need to apply the chain rule and product rule from calculus to find the derivative \( G'(x) \). After deriving the expression, substitute \( x = -4 \) into the derivative to compute \( G'(-4) \). Finally, round your result to three significant figures.
Transcribed Image Text:**Problem Statement:** Calculate \( G'(-4) \) to 3 significant figures where \[ G(x) = (-4x - 2)^{10}(-2x^2 + 1x + 4)^{12} \] **Instructions:** To solve this problem, you will need to apply the chain rule and product rule from calculus to find the derivative \( G'(x) \). After deriving the expression, substitute \( x = -4 \) into the derivative to compute \( G'(-4) \). Finally, round your result to three significant figures.
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