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Differentiate the function. y = (2x² − x + 1) (-x5 + 3) y' = 5

Differentiate the function. y = (2x² − x + 1) (-x5 + 3) y' = 5

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

 please show your derivative by hand and simplify

**Differentiate the function:** Given: \[ y = (2x^4 - x + 1) \cdot (-x^5 + 3) \] Find the derivative \( y' \). **Solution:** \[ y' = 5 \] The task is to differentiate the given product of two functions. However, the derivative presented is directly given as 5. It is crucial to apply the product rule and differentiate each component correctly to reach the accurate derivative.
Transcribed Image Text:**Differentiate the function:** Given: \[ y = (2x^4 - x + 1) \cdot (-x^5 + 3) \] Find the derivative \( y' \). **Solution:** \[ y' = 5 \] The task is to differentiate the given product of two functions. However, the derivative presented is directly given as 5. It is crucial to apply the product rule and differentiate each component correctly to reach the accurate derivative.
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