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

Rounding, the number is 605176 the underline digit is 0

the number is 605176 the underline digit is 0

Word problem, adison earned $25 mowing her neighbor''s lawn. then she loane...

adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to

#titlealgebra.., help solve these type equations.-4.1x=-4x+4.5

help solve these type equations.-4.1x=-4x+4.5

How to multiply two fractions, Q. How to Multiply two Fractions? Multip...

Q. How to Multiply two Fractions? Multiplying fractions is really easy! The rule is: "multiply across"- You multiply the numerators, and you multiply the denominators.

3/8:5/9, how do I change this ratio to a fraction

how do I change this ratio to a fraction

Calculate the volume and surface area of a sphere, Calculate the volume and...

Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4".  Be sure to include units in your answer. Solution: V

Determine how many square centimeters, Determine how many square centimeter...

Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.

Find out the variance and standard deviation, The probability of a rare dis...

The probability of a rare disease striking a described population is 0.003. A sample of 10000 was examined. Determine the expected no. suffering from the disease and thus find out

Ratio, number of consonants to the number of letters in the English Alphabe...

number of consonants to the number of letters in the English Alphabet express answer in ratio

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