Calculus Calculus Math Forum

January 30th, 2017, 02:44 PM   #11
Banned Camp

Joined: Mar 2015
From: New Jersey

Posts: 1,720
Thanks: 126

Quote:
 Originally Posted by zylo z = f(x,y) 1) $\displaystyle dz = f_{x}dx + f_{y}dy = \bigtriangledown f\cdot$ dr 2) $\displaystyle dz/ds = \bigtriangledown f\cdot$ n 3) $\displaystyle f_{x}dx + f_{y}dy - dz = N\cdot$ dr = 0 1) Gradient. $\displaystyle \bigtriangledown f$ points in dir of max increase of z; see Eq 2). 2) Directional derivative in dir of unit vector n. n=dr/ds, ds=|dr| 3) Equation of tangent to surface. N is normal to surface. dr is defined by respective Eq.
dz is not normal to the surface. See 1)
N is normal to the surface. See 3)

 Tags derivative, directional, gradient, line, normal, question

### mathematics forums

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post supaman5 Linear Algebra 0 November 26th, 2012 10:14 AM chrill3123 Calculus 5 April 21st, 2012 06:51 PM seit Calculus 1 November 13th, 2010 10:12 PM dk1702 Abstract Algebra 0 July 20th, 2010 09:58 PM Left of Zen Calculus 4 June 10th, 2010 09:19 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top