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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33 and 37
![**Use logarithmic differentiation to find the derivative of the function.**
**33.** \( y = (2x + 1)^5(x^4 - 3)^6 \)
**34.** \( y = \sqrt{x} e^{x^2} (x^2 + 1)^{10} \)
**35.** \( y = \frac{\sin^2 x \tan^4 x}{(x^2 + 1)^2} \)
**36.** \( y = \sqrt[4]{\frac{x^2 + 1}{x^2 - 1}} \)
**37.** \( y = x^x \)
**38.** \( y = x^{\cos x} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc87785b0-7b08-4187-be5d-f53b11d0a1a0%2F04cb0843-a1fa-47fe-be5e-4e94b197b09e%2Fblvmbv_processed.png&w=3840&q=75)
Transcribed Image Text:**Use logarithmic differentiation to find the derivative of the function.**
**33.** \( y = (2x + 1)^5(x^4 - 3)^6 \)
**34.** \( y = \sqrt{x} e^{x^2} (x^2 + 1)^{10} \)
**35.** \( y = \frac{\sin^2 x \tan^4 x}{(x^2 + 1)^2} \)
**36.** \( y = \sqrt[4]{\frac{x^2 + 1}{x^2 - 1}} \)
**37.** \( y = x^x \)
**38.** \( y = x^{\cos x} \)
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