My Math Forum  

Go Back   My Math Forum > High School Math Forum > Pre-Calculus

Pre-Calculus Pre-Calculus Math Forum


Thanks Tree3Thanks
  • 1 Post By ryan1108109
  • 1 Post By ryan1108109
  • 1 Post By studiot
Reply
 
LinkBack Thread Tools Display Modes
July 21st, 2016, 07:24 AM   #1
Newbie
 
Joined: Jul 2016
From: pickering

Posts: 7
Thanks: 2

instantaneous rate of changes

Given the function g(x)=x^4-2x^3+1,
a)Estimate the instantaneous rate of change at x=1 , b. Will the instantaneous rate of change be the same at any x-value on the function? Explain why or why not.

i need help thank you
Thanks from manus
ryan1108109 is offline  
 
July 21st, 2016, 07:29 AM   #2
Senior Member
 
Joined: Jun 2015
From: England

Posts: 915
Thanks: 271

First tell us what you understand 'instantaneous rate of change ' to mean.
studiot is offline  
July 21st, 2016, 07:29 AM   #3
Senior Member
 
Joined: Apr 2014
From: UK

Posts: 937
Thanks: 335

Are you familiar with differentiation?
weirddave is offline  
July 21st, 2016, 07:38 AM   #4
Newbie
 
Joined: Jul 2016
From: pickering

Posts: 7
Thanks: 2

Quote:
Originally Posted by weirddave View Post
Are you familiar with differentiation?
what do you mean?
ryan1108109 is offline  
July 21st, 2016, 07:41 AM   #5
Newbie
 
Joined: Jul 2016
From: pickering

Posts: 7
Thanks: 2

Quote:
Originally Posted by studiot View Post
First tell us what you understand 'instantaneous rate of change ' to mean.

I don't really understand this but I know the formula and I can't firgue out how to find it
ryan1108109 is offline  
July 21st, 2016, 07:54 AM   #6
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,982
Thanks: 1575

Quote:
Originally Posted by ryan1108109 View Post
I don't really understand this but I know the formula and I can't firgue out how to find it
what formula?
skeeter is offline  
July 21st, 2016, 07:57 AM   #7
Newbie
 
Joined: Jul 2016
From: pickering

Posts: 7
Thanks: 2

Quote:
Originally Posted by skeeter View Post
what formula?
this formula : f(x+h)-f(x) / h
Thanks from manus
ryan1108109 is offline  
July 21st, 2016, 08:04 AM   #8
Senior Member
 
Joined: Jun 2015
From: England

Posts: 915
Thanks: 271

That would do although you should not blindly apply any formula, without knowing what it means.

So is f(x) clear enough?

What do you think h might be?

remember the question said
estimate the rate of change, not calculate its exact value.
Thanks from manus
studiot is offline  
July 21st, 2016, 08:13 AM   #9
Senior Member
 
Joined: Jun 2015
From: England

Posts: 915
Thanks: 271

If in doubt, ask.
studiot is offline  
September 15th, 2016, 11:14 PM   #10
Newbie
 
Joined: Jun 2016
From: india

Posts: 24
Thanks: 4

Given function : $\displaystyle g(x)=x^4-2x^3+1$
To find rate of change, we have to differentiate given function.
$\displaystyle \dfrac{d}{dx}\;\{g(x)\}=\dfrac{d}{dx}\;(x^4-2x^3+1)$
$\displaystyle \Rightarrow\;g'(x)=4x^3-6x^2+0$
To find instantaneous rate of change at $\displaystyle x=1$, put $\displaystyle x=1$ in $\displaystyle g'(x)$.
So instantaneous rate of change at $\displaystyle x=1$
$\displaystyle =4(1)^3-6(1)^2$
$\displaystyle =4-6$
$\displaystyle =-2$
If you want to study more about rate of change and approximation, this will help you.
Rate of Change Formula, Rate of Change of Volume and Surface, Velocity - Actucation
rahuljoshi is offline  
Reply

  My Math Forum > High School Math Forum > Pre-Calculus

Tags
instantaneous, rate



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
find instantaneous rate of change rrosa522 Pre-Calculus 2 February 23rd, 2016 04:54 AM
Instantaneous % rate off change ioabs Calculus 1 September 7th, 2015 03:08 PM
Instantaneous rate of change Mr Davis 97 Calculus 2 May 5th, 2014 07:03 PM
Instantaneous Rate of Change Pumpkin99 Calculus 1 September 26th, 2011 05:06 PM
instantaneous rate of change mathman2 Calculus 13 October 20th, 2009 11:06 AM





Copyright © 2019 My Math Forum. All rights reserved.