Calc

1 / 16

# Calc - PowerPoint PPT Presentation

Differentiation

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Calc' - guest23073

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

A formal method of finding a gradient function.

y

f(x+h)-f(x)

h

x

x+h

x

y

f(x+h)-f(x)

h

x

x+h

x

y

f(x+h)-f(x)

h

x

x

x+h

y

f(x+h)-f(x)

h

x

x

x+h

y

f(x+h)-f(x)

h

x

x

x+h

y

f(x+h)-f(x)

h

x

x

x+h

y

f(x+h)-f(x)

h

x

x

x+h

y

f(x+h)-f(x)

h

x

x

x+h

y

x

x

x+h

y

x

x

x+h

y

x

x:x+h

As

This leads to the formal definition of the derivative

Definition: The function f‘(x) defined by:

is called the derivative of f with respect to x – or the gradient function of f(x).

Using the definition to find the gradient function (or derivative) of f, is sometimes referred to as “…finding the gradient/derivative using First Principles”

Let’s use it to find some other gradient functions….