Search for notes by fellow students, in your own course and all over the country.

Browse our notes for titles which look like what you need, you can preview any of the notes via a sample of the contents. After you're happy these are the notes you're after simply pop them into your shopping cart.

My Basket

Buy These Notes

You have nothing in your shopping cart yet.

Title: Implicit functions and their differentiation
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Implicit function and their differentiation
Buy These NotesPreview

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above

The function z = f (x; y) is
called implicit if it is given by
an equation that cannot be
solved with respect to z:

F(x; y; z)  0
...

x
F / z
Fz

F(x; y; z)  0
Let us differentiate both parts of the
equation with respect to y, assuming
x to be constant:

F F z

 0, from where
y  z  y
Fy
z
F / y


...

z

2

Answer:
z
2xy
 z
;
x e  1

z
x
 z
Title: Implicit functions and their differentiation
Description: Comprehensive notes and practicals (Problems and Solutions) covering: -Implicit function and their differentiation
Buy These NotesPreview