Use logarithmic differentiation to find the derivative of each function. 1) y=Vxe" (x* +1)"

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
**Math 251 – Calculus 1**

**Activity – Logarithmic Differentiation**

Use logarithmic differentiation to find the derivative of each function.

1. \( y = \sqrt{x} e^{(x^2 + 1)^{10}} \)

2. \( y = \sqrt{\frac{x^2 + 1}{x^2 - 1}} \)

3. \( y = x^{\cos x} \)

4. \( y = (\cos x)^x \)
Transcribed Image Text:**Math 251 – Calculus 1** **Activity – Logarithmic Differentiation** Use logarithmic differentiation to find the derivative of each function. 1. \( y = \sqrt{x} e^{(x^2 + 1)^{10}} \) 2. \( y = \sqrt{\frac{x^2 + 1}{x^2 - 1}} \) 3. \( y = x^{\cos x} \) 4. \( y = (\cos x)^x \)
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