My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 9th, 2017, 01:05 PM   #1
Member
 
Joined: Feb 2017
From: henderson

Posts: 36
Thanks: 0

Let h(x) = s(s(x)) Estimate

Let h(x) = s(s(x)) Estimate

H'(1)

dont I just simply plug in 1 or am I missing something
Bobbyjoe is offline  
 
May 9th, 2017, 01:11 PM   #2
Member
 
Joined: Feb 2015
From: Southwest

Posts: 96
Thanks: 24

I'd give it a try in just function form. They defined h(x) as a function of s(s(x)) and asked you to find h'(1). So do it, using chain rule. Remember s(x) is s'(x)x'. Once you have it, just put 1 in for the x.

Remember the ' on the function means the derivative of the original function.
phrack999 is offline  
May 10th, 2017, 03:56 AM   #3
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 2,579
Thanks: 668

You appear to be saying you do not even understand the notation. "h(x)" is NOT the same as "H(x)" and "h'(x)" is the derivative. First, let u= s(x) so that s(s(x))= s(u). Then the derivative of h(u)= s(u), with respect to u, is, by the chain rule, s'(u)u'. Now, since s(x)= u, u'= s'(x) so the derivative of h(x)= s(s(x)), with respect to x is s'(s(x))(s'(x)). More than that cannot be done without knowing more about s(x) itself,
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
estimate, ssx



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Estimate C life24 Calculus 3 November 28th, 2016 04:25 AM
Estimate the value of this sum... pjlloyd100 Calculus 2 April 18th, 2013 01:25 PM
Estimate the area sedasen Calculus 1 March 25th, 2013 07:05 AM
Estimate value of limit jaredbeach Calculus 4 October 16th, 2011 05:02 PM
Estimate symmetry Advanced Statistics 0 May 13th, 2007 12:37 PM





Copyright © 2017 My Math Forum. All rights reserved.