Find the derivative. (cosh (52²-4x+2))=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the derivative.
d
dz
(cosh (5x² - 4x + 2)) =
Transcribed Image Text:Find the derivative. d dz (cosh (5x² - 4x + 2)) =
Expert Solution
Step 1

What is Hyperbolic Function:

Hyperbolic functions in mathematics are analogues of regular trigonometric functions that are defined using the hyperbola rather than the circle. The points form the right half of the unit hyperbola just as they do a circle with a unit radius. In hyperbolic geometry, hyperbolic functions are used to calculate angles and distances. Additionally, they appear in numerous linear differential equations' solutions. Numerous branches of physics, such as electromagnetic theory, heat transfer, fluid dynamics, and special relativity, depend on Laplace's equations.

Given:

Given function is, 

fx=cosh5x2-4x+2

To Determine:

We determine the derivative of given function. 

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