Use the product rule to find the derivative of (82° – 3x*) (7e" – 1) Use e^x for e". You do not need to expand out your answer.

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...
Question
Use the product rule to find the derivative of \((8x^9 - 3x^3)(7e^x - 1)\).

Use \(e^x\) for \(e^x\). You do *not* need to expand out your answer.
Transcribed Image Text:Use the product rule to find the derivative of \((8x^9 - 3x^3)(7e^x - 1)\). Use \(e^x\) for \(e^x\). You do *not* need to expand out your answer.
Expert Solution
Step 1

Derivative: - The derivative of the function is the equation that we find. The instantaneous rate of change, or slope, at a specific point of a function, is known as the derivative. It calculates the exact slope at a given location on the curve. dydx which stands for the derivative of ywith respect to x, is the symbol for the derivative.

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