My Math Forum confused on derivative rules

 Calculus Calculus Math Forum

 May 9th, 2017, 11:17 AM #1 Member   Joined: Feb 2017 From: henderson Posts: 36 Thanks: 0 confused on derivative rules so I have ln(cos(w-1)) dont I use chain rule can somebody do a step by step?
 May 9th, 2017, 11:24 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,330 Thanks: 2457 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?
May 9th, 2017, 11:35 AM   #3
Member

Joined: Feb 2017
From: henderson

Posts: 36
Thanks: 0

Quote:
 Originally Posted by v8archie 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

May 9th, 2017, 11:51 AM   #4
Senior Member

Joined: Sep 2015
From: USA

Posts: 2,009
Thanks: 1042

Quote:
 Originally Posted by Bobbyjoe 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
$g(w) = \cos(w-1)$

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

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

 Tags confused, derivative, rules

 Thread Tools Display Modes Linear Mode

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

 Contact - Home - Forums - Cryptocurrency Forum - Top