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

Explain binomial distribution, Q. Explain Binomial Distribution? Ans. ...

Q. Explain Binomial Distribution? Ans. The binomial distribution occurs when you are considering the probability function of a binomial experiment. Binomial Experiment

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

G .E matrix, using the g.e matrix, how can you turn an unattractive product...

using the g.e matrix, how can you turn an unattractive product to be attractive

30-60-90 degree triangle, : Find the length of the hypotenuse of a right tr...

: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Algebraic word problems, Algebraic Word Problems: Equations: 1....

Algebraic Word Problems: Equations: 1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility. Let L be the

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