9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I Y y = (sin(x))" (tan (x))¹ (x²+3)² = x5x y = (cos 9x)*
9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I Y y = (sin(x))" (tan (x))¹ (x²+3)² = x5x y = (cos 9x)*
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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![9. Use logarithmic differentiation to find the derivative of the following functions.
a. \( y = \frac{(\sin(x))^6 (\tan(x))^4}{(x^2 + 3)^2} \)
\[ y' = \boxed{} \]
b. \( y = x^{5x} \)
\[ y' = \boxed{} \]
c. \( y = (\cos(9x))^x \)
\[ y' = \boxed{} \]
d. \( y = (\tan x)^{8/x} \)
\[ y' = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb4d0b6f-2912-4036-ab86-e540ec493e59%2Fe0cbc327-4168-4596-8165-b72acebb3e06%2F8jlvrwn_processed.png&w=3840&q=75)
Transcribed Image Text:9. Use logarithmic differentiation to find the derivative of the following functions.
a. \( y = \frac{(\sin(x))^6 (\tan(x))^4}{(x^2 + 3)^2} \)
\[ y' = \boxed{} \]
b. \( y = x^{5x} \)
\[ y' = \boxed{} \]
c. \( y = (\cos(9x))^x \)
\[ y' = \boxed{} \]
d. \( y = (\tan x)^{8/x} \)
\[ y' = \boxed{} \]
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