sinh(4 x) Differentiate the given function y = cosh(4 x) – 6 1– 6 cosh(4z) a) cosh(4 x) – 6 6 b) O (cosh(4 2) – 6)? 4 с) О (cosh(4 x) – 6)? 16 — 96 сosh(4 z) d) (cosh(4 æ) – 6)? 4 – 24 cosh(4 æ) (cosh(4 x) – 6)²
sinh(4 x) Differentiate the given function y = cosh(4 x) – 6 1– 6 cosh(4z) a) cosh(4 x) – 6 6 b) O (cosh(4 2) – 6)? 4 с) О (cosh(4 x) – 6)? 16 — 96 сosh(4 z) d) (cosh(4 æ) – 6)? 4 – 24 cosh(4 æ) (cosh(4 x) – 6)²
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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![The task is to differentiate the given function:
\[ y = \frac{\sinh(4x)}{\cosh(4x) - 6} \]
Options for the derivative are:
a) \[ \frac{1 - 6 \cosh(4x)}{\cosh(4x) - 6} \]
b) \[ \frac{6}{(\cosh(4x) - 6)^2} \]
c) \[ \frac{4}{(\cosh(4x) - 6)^2} \]
d) \[ \frac{16 - 96 \cosh(4x)}{(\cosh(4x) - 6)^2} \]
e) \[ \frac{4 - 24 \cosh(4x)}{(\cosh(4x) - 6)^2} \] (This option is highlighted)
There are no diagrams or graphs present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c03d17e-03c0-44bf-860a-ef4a718bf31e%2Fd7988a0b-a538-4779-a74b-ef289600ad36%2F7onokug_processed.png&w=3840&q=75)
Transcribed Image Text:The task is to differentiate the given function:
\[ y = \frac{\sinh(4x)}{\cosh(4x) - 6} \]
Options for the derivative are:
a) \[ \frac{1 - 6 \cosh(4x)}{\cosh(4x) - 6} \]
b) \[ \frac{6}{(\cosh(4x) - 6)^2} \]
c) \[ \frac{4}{(\cosh(4x) - 6)^2} \]
d) \[ \frac{16 - 96 \cosh(4x)}{(\cosh(4x) - 6)^2} \]
e) \[ \frac{4 - 24 \cosh(4x)}{(\cosh(4x) - 6)^2} \] (This option is highlighted)
There are no diagrams or graphs present in the image.
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