Differentiate hyperbolic functions, Mathematics

Assignment Help:

Differentiate following functions.

(a)  f ( x ) = 2 x5 cosh x

(b) h (t ) = sinh t / t + 1

Solution

(a) f ′ ( x ) = 10x4 cosh x + 2x5 sinh x

(b) h′ (t ) = (t + 1) cosh t - sinh t /(t + 1)2

 


Related Discussions:- Differentiate hyperbolic functions

Find out the tangent line to the parametric curve, Find out the tangent lin...

Find out the tangent line(s) to the parametric curve specified by X = t5 - 4t3 Y = t2 At (0,4) Solution Note that there is actually the potential for more than on

Vectors, A plane is flying at 200 mph with a heading of 45degrees and encou...

A plane is flying at 200 mph with a heading of 45degrees and encounters a wind mph from the west. What is the velocity and heading?

Factoring by grouping, Factoring By Grouping It is a method that isn't ...

Factoring By Grouping It is a method that isn't utilized all that frequently, but while it can be used it can be somewhat useful. Factoring by grouping can be nice, however it

Domain and range of a function , Domain and range of a functio:  One of th...

Domain and range of a functio:  One of the more significant ideas regarding functions is that of the domain and range of a function. In simplest world the domain of function is th

Method to solve binomials of second degree, In this part we look at a...

In this part we look at another method to obtain the factors of an expression. In the above you have seen that x 2 - 4x + 4 = (x - 2) 2 or (x - 2)(x - 2). If yo

Integration techniques, Integration Techniques In this section we are ...

Integration Techniques In this section we are going to be looking at several integration techniques and methods. There are a fair number of integration techniques and some wil

Limit problem, limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Formula to know the area of fan will wrap, Aaron is installing a ceiling fa...

Aaron is installing a ceiling fan in his bedroom. Once the fan is in motion, he requires to know the area the fan will wrap. What formula will he use? The area of a circle is π

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd