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

Definition of laplace transforms, You know that it's all the time a little ...

You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w

Permutation, A train goin from delhi to jaipur stops at 7 intermediate stat...

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of

How is probability distribution of random variable construct, How is the pr...

How is the probability distribution of a random variable constructed? Usually, the past behavior of the variable is studied and the frequency distribution of the past data is form

Mensuration, A palm tree of heights 25m is broken by storm in such a way th...

A palm tree of heights 25m is broken by storm in such a way that its top touches the ground at a distance of 5m from its root,but is not separated from the tree.Find the height at

Evaluate integrals (1 - (1 /w) cos (w - ln w) dw, Evaluate following integr...

Evaluate following integrals.                       ( (1 - (1 /w) cos (w - ln w) dw Solution In this case we know how to integrate only a cosine therefore let's makes th

Explain the counting principle in maths, Explain the Counting Principle in ...

Explain the Counting Principle in maths? The fundamental counting principle is used when you want to calculate the total number of possible outcomes (or combinations) of an exp

How long will the board be after he makes the cut, Tom is cutting a piece o...

Tom is cutting a piece of wood to form a shelf. He cut the wood to 3.5 feet, but it is too long to fit in the bookshelf he is forming. He decides to cut 0.25 feet off the board. Ho

Integration, integral 0 to 4 integral 0 to y root of 9+ysquredxdy

integral 0 to 4 integral 0 to y root of 9+ysquredxdy

First order differential equations, In this section we will consider for so...

In this section we will consider for solving first order differential equations. The most common first order differential equation can be written as: dy/dt = f(y,t) As we wil

Direction cosines - vector, Direction Cosines This application of the ...

Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.

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