Find the derivative of the function. (a) g(x) - log,(8x - 9x²) - (x),6 (b)

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 derivative of the functions attached. Please show work and the steps used to find the solution. thank you!

**Find the derivative of the function.**

For part (a):

\[ y = \ln(e^{4x} \sqrt{e^{-4x} - 1}) \]

\[ y' = \_\_\_\_\_\_\_\_\_\_ \]

For part (b):

\[ g(x) = \log_9(8x^3 - 9x^2) \]

\[ g'(x) = \_\_\_\_\_\_\_\_\_\_ \]
Transcribed Image Text:**Find the derivative of the function.** For part (a): \[ y = \ln(e^{4x} \sqrt{e^{-4x} - 1}) \] \[ y' = \_\_\_\_\_\_\_\_\_\_ \] For part (b): \[ g(x) = \log_9(8x^3 - 9x^2) \] \[ g'(x) = \_\_\_\_\_\_\_\_\_\_ \]
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