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

Number sentences, when i couulate the formula f 64 divided by 65 how do i d...

when i couulate the formula f 64 divided by 65 how do i do this

Help, draw a right angle isosceles triangle with 9 triangles in it

draw a right angle isosceles triangle with 9 triangles in it

Multiplication example, Example  Multiply 3x 5 + 4x 3 + 2x - 1 ...

Example  Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .

Expressing the interest rate as a decimal fraction, Total Contribution per ...

Total Contribution per Year for next 10yeras =$1000+$800 =$1800 So Total Future fund Vaule  =$1800*(1+1.073+power(1.073,2)+ power(1.073,2)+ power(1.073,3)+ power(1.073,4)+ power

Stakeholders, what is the benefit for stakeholders or disadvantage in a mon...

what is the benefit for stakeholders or disadvantage in a monoply

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