Function of a function, Mathematics

Assignment Help:

Function of a Function

Suppose y is a function of z,

           y = f(z)

and z is a function of x,

           z = g(x)

Since, y depends on z, and z in turn depends on x, y is also a function of x.

Thus,  y = f(z)

           = f[g(x)]

The derivative of y with respect to x can be obtained as:

978_function of a function.png

= 2161_function of a function1.png

The above method is often used to get the derivative of some complicated functions.


Related Discussions:- Function of a function

Differential equations, Verify Liouville''''s formula for y "-y" - y'''' + ...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?

Steel bar to make a hard surface, Take the carburizing of a steel bar to ma...

Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d

World Problems on simultaneous equations, A particular algebra text has a t...

A particular algebra text has a total of 1382 pages which is broken up into two parts. the second part of book has 64 more pages than first part. How many pages are in each part of

Develop a linear program to investment advisory firm, An investment advisor...

An investment advisory firm manages funds for its numerous clients. The company uses an asset allocation model that recommends the portion of each client's portfolio to be invested

Division, Why do we start dividion operation from left to right?

Why do we start dividion operation from left to right?

5th grade math, jack and his mother paid $11.50 for tickets to the movies. ...

jack and his mother paid $11.50 for tickets to the movies. An adult''s ticket costs $4.50 more than a child''s ticket. What was the cost of each ticket?

Rectilinear figure, what is a redtilinear figure? like what are for the req...

what is a redtilinear figure? like what are for the requirments for a shape to be called that? example a regular polygon has all sides and angles equal. i cant find that kind of dr

Arden''s Theorem, Find the Regular Grammar for the following Regular Expres...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

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