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, 11:17 AM   #1
Member
 
Joined: Feb 2017
From: henderson

Posts: 36
Thanks: 0

Question confused on derivative rules

so I have ln(cos(w-1))

dont I use chain rule
can somebody do a step by step?
Bobbyjoe is offline  
 
May 9th, 2017, 11:24 AM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,356
Thanks: 2469

Math Focus: Mainly analysis and algebra
Yes, you do use the chain rule.

What is the chain rule? And how do you imagine that it might be applied here?
v8archie is offline  
May 9th, 2017, 11:35 AM   #3
Member
 
Joined: Feb 2017
From: henderson

Posts: 36
Thanks: 0

Quote:
Originally Posted by v8archie View Post
Yes, you do use the chain rule.

What is the chain rule? And how do you imagine that it might be applied here?
f(g(x)) = f'(g(x))*g'(x)

I get 1/cos(w-1) but Im unsure what to do next im confused on it
Bobbyjoe is offline  
May 9th, 2017, 11:51 AM   #4
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 2,091
Thanks: 1087

Quote:
Originally Posted by Bobbyjoe View Post
f(g(x)) = f'(g(x))*g'(x)

I get 1/cos(w-1) but Im unsure what to do next im confused on it
$g(w) = \cos(w-1)$

$g^\prime(w) = -\sin(w-1)$

$\dfrac{d}{dw} \ln(\cos(w-1)) = -\dfrac{\sin(w-1)}{\cos(w-1)} = -\tan(w-1)=\tan(1-w)$
romsek is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
confused, derivative, rules



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
New Rules xboxprot Advanced Statistics 0 December 6th, 2015 12:41 PM
Rules Iwishmath Elementary Math 2 May 25th, 2014 08:47 PM
Exponenents and Rules seanfmglobal Algebra 2 November 30th, 2011 04:40 AM
Derivative Rules and local maxima/minima funsize999 Calculus 4 April 27th, 2009 02:40 PM
Help With Derivative Rules khoa Calculus 1 November 27th, 2008 01:47 AM





Copyright © 2018 My Math Forum. All rights reserved.