User Name Remember Me? Password

 Calculus Calculus Math Forum

 December 30th, 2011, 01:44 AM #1 Member   Joined: Aug 2011 Posts: 78 Thanks: 0 The value of g in the gradient formula Hello, But of a dull question really but it does not care to explain in the book I have, the value of g in this formula: if y=f(x)± g(x) then dy/dx=f'(x)±g'(x) thanks December 30th, 2011, 01:52 AM #2 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: The value of g in the gradient formula The derivative of the sum is the sum of the derivatives. g is a function of x. Example: y = 2x˛ + xł, f(x) = 2x˛, f'(x) = 4x, g(x) = xł, g'(x) = 3x˛, dy/dx = 4x + 3x˛. December 30th, 2011, 02:00 AM   #3
Member

Joined: Aug 2011

Posts: 78
Thanks: 0

Re: The value of g in the gradient formula

Quote:
 Originally Posted by greg1313 The derivative of the sum is the sum of the derivatives. g is a function of x. Example: y = 2x˛ + xł, f(x) = 2x˛, f'(x) = 4x, g(x) = xł, g'(x) = 3x˛, dy/dx = 4x + 3x˛.
cheers greg is a constant or can it be any value? December 30th, 2011, 02:01 AM   #4
Senior Member

Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: The value of g in the gradient formula

From another forum:

Quote:
 Differentiation is a linear transformation for the vector space of differentiable functions over the field of reals.
We may write: December 30th, 2011, 02:14 AM   #5
Global Moderator

Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,958
Thanks: 1146

Math Focus: Elementary mathematics and beyond
Re: The value of g in the gradient formula

Quote:
 Originally Posted by dthomas86 is a constant or can it be any value?
Generally, g is a function of x, and its value depends on x.

It may be a constant function, in which case it will be the same value regardless of the value of x; e.g: g(x) = 3, g'(x) = 0.

It may be a rational function, e.g: g(x) = (x˛ + 2)/(xł - 1), which is undefined for x = 1.

etc. December 30th, 2011, 03:21 AM #6 Member   Joined: Aug 2011 Posts: 78 Thanks: 0 Re: The value of g in the gradient formula thanks again I love this forum people are so helpful! Tags formula, gradient Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post coachcft Calculus 2 December 15th, 2012 12:25 PM truthseeker Linear Algebra 12 October 2nd, 2012 07:07 AM veronicak5678 Real Analysis 0 May 6th, 2012 09:08 AM Mediocre1981 Calculus 3 August 29th, 2008 03:01 AM dthomas86 Algebra 3 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.      