My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 27th, 2010, 07:27 AM   #1
Senior Member
 
Joined: Oct 2009

Posts: 895
Thanks: 1

derivatives help

[color=#0040FF]1 ) If v is a differentiable function of x . then d/dx(1/v) = [/color]
d/dx =1v^2 .

[color=#0040FF]2 ) If x = sin y , then dy/dx = [/color]
Cosy.y'

[color=#0040FF]3 ) If y^2 = x then dy/dx = [/color]
= 2y = 1

[color=#0040FF]4 ) The derivative of y = e^t sint with respect t is [/color]
e^t(sint + cost )

d/dx|x| =

zero

[color=#0040FF]5 ) Find the dy/dx of y = sinu , u = x^2 [/color]

Cosu.2x
r-soy is offline  
 
November 27th, 2010, 08:22 AM   #2
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: derivatives help

1.)

2.)

Implicitly differentiate with respect to x:



3.)

Implicitly differentiate with respect to x:



4.) You did correctly!



5.)






You did it correctly, but perhaps you should substitute for u in your final answer.
MarkFL is offline  
November 27th, 2010, 08:26 AM   #3
Math Team
 
Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 408

Re: derivatives help

Hello, r-soy!

The first three are incorrect.
(I'll let someone else comment on the others.)


Quote:



Quote:



Quote:



soroban is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
derivatives



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Are partial derivatives the same as implicit derivatives? johngalt47 Calculus 2 November 23rd, 2013 11:44 AM
Please Help.. Derivatives dV/dR - dV/dt fantom2012 Calculus 3 May 6th, 2012 07:53 PM
Derivatives-Help Arley Calculus 5 April 13th, 2012 06:56 PM
derivatives Calavan11 Calculus 2 December 11th, 2009 04:42 AM
derivatives shango Calculus 2 October 21st, 2009 06:38 PM





Copyright © 2019 My Math Forum. All rights reserved.