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Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y' = + 8). +x – 3 + x - 3) 8+ * (x³ + 8)2 (x3 + 8) 2х + 1 - (x2 + x - 3) 3x (x3 + 8)2 (x3 + 8) 2х - 1 3x4 – 3x + 9x? (x3 + 8)2 -x4 - 2x° + 9x2 + 16x + 8 (x3 + 8)2

Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y' = + 8). +x – 3 + x - 3) 8+ * (x³ + 8)2 (x3 + 8) 2х + 1 - (x2 + x - 3) 3x (x3 + 8)2 (x3 + 8) 2х - 1 3x4 – 3x + 9x? (x3 + 8)2 -x4 - 2x° + 9x2 + 16x + 8 (x3 + 8)2

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Differentiate. f(x) = (4x² – 3x)e* Step 1 Recall the product rule, where both g and h are differentiable. d d d + dx We are given the function f(x) = (4x2 - 3x)eX, which we see is the product of two differentiable functions g(x) and h(x) such that f(x) = g(x)h(x). If we let g(x) = 4x² – 3x, then h(x) is as follows. h(x) = 4x e* + 5xe* – 3e* | Submit Skip (you cannot come back).
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Differentiate. f(x) = (4x² – 3x)e* Step 1 Recall the product rule, where both g and h are differentiable. d d d + dx We are given the function f(x) = (4x2 - 3x)eX, which we see is the product of two differentiable functions g(x) and h(x) such that f(x) = g(x)h(x). If we let g(x) = 4x² – 3x, then h(x) is as follows. h(x) = 4x e* + 5xe* – 3e* | Submit Skip (you cannot come back).
Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y' = + 8). +x – 3 + x - 3) 8+ * (x³ + 8)2 (x3 + 8) 2х + 1 - (x2 + x - 3) 3x (x3 + 8)2 (x3 + 8) 2х - 1 3x4 – 3x + 9x? (x3 + 8)2 -x4 - 2x° + 9x2 + 16x + 8 (x3 + 8)2
Transcribed Image Text:Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y' = + 8). +x – 3 + x - 3) 8+ * (x³ + 8)2 (x3 + 8) 2х + 1 - (x2 + x - 3) 3x (x3 + 8)2 (x3 + 8) 2х - 1 3x4 – 3x + 9x? (x3 + 8)2 -x4 - 2x° + 9x2 + 16x + 8 (x3 + 8)2
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