Find the first derivative of g(x) = 9eª sin(x²). g'(x) =

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 first derivative of g(x) = 9eª sin(x²).
g'(x) =
Transcribed Image Text:Find the first derivative of g(x) = 9eª sin(x²). g'(x) =
2x
Let ƒ(x) = (x − 3)e - 2a
a) State any values of x where f'(x) = 0:
b) State any intervals of x where f(x) is increasing:
c) State any intervals of a where f(x) is decreasing:
Transcribed Image Text:2x Let ƒ(x) = (x − 3)e - 2a a) State any values of x where f'(x) = 0: b) State any intervals of x where f(x) is increasing: c) State any intervals of a where f(x) is decreasing:
Expert Solution
Step 1: Given the information

The given function g open parentheses x close parentheses equals 9 e to the power of x sin open parentheses x squared close parentheses.

The aim is to find the derivative of the function.

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