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Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x² + 3 322 d) 3 e) O 9x? 2x3

Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x² + 3 322 d) 3 e) O 9x? 2x3

Calculus: Early Transcendentals
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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**Problem Statement:** Differentiate the given function \( y = \cosh(\ln(6x^3)) \). **Options:** a) \( 3x^2 + \frac{1}{4x^4} \) b) \( 9x^2 - \frac{1}{4x^4} \) c) \( 3x^2 + \frac{1}{4x^3} \) d) \( 3x^2 - \frac{3}{x^4} \) e) \( 9x^2 - \frac{3}{2x^3} \) **Correct Answer:** d) \( 3x^2 - \frac{3}{x^4} \) **Explanation:** The problem involves differentiating a composite hyperbolic cosine and natural logarithm function.
Transcribed Image Text:**Problem Statement:** Differentiate the given function \( y = \cosh(\ln(6x^3)) \). **Options:** a) \( 3x^2 + \frac{1}{4x^4} \) b) \( 9x^2 - \frac{1}{4x^4} \) c) \( 3x^2 + \frac{1}{4x^3} \) d) \( 3x^2 - \frac{3}{x^4} \) e) \( 9x^2 - \frac{3}{2x^3} \) **Correct Answer:** d) \( 3x^2 - \frac{3}{x^4} \) **Explanation:** The problem involves differentiating a composite hyperbolic cosine and natural logarithm function.
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