
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 21st, 2014, 04:45 AM  #1 
Newbie Joined: Jul 2013 Posts: 21 Thanks: 0  Some values of derivative of unknown function f?
The table shows some values of the derivative of an unknown function f. Complete the table by finding (if possible) the derivative of each transformation of f. a) g(x) = f(x) 2 b) h(x) = 2f(x) c) r(x) = f(3x) d) s(x) = f(x+2) x  2 1 0 1 2 3 f'(x) 4 2/3 1/3 1 2 4 g'(x)       h'(x)       r'(x)       s'(x)       How to do this please? Can you tell me what to do and answer the first few boxes/blanks for me, so I can learn from them and do the rest? Thank you 
February 21st, 2014, 05:53 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Some values of derivative of unknown function f? Quote:
(a) (f(x)+ g(x))'= f'(x)+ g'(x) and if g happens to be a constant, g(x)= c, its derivative is 0 so (f(x)+ c)'= f'(x). (b) (cf(x))'= cf'(x) for c a constant. (c) The chain rule: f(g(x))= f'(g(x))g'(x) and here g(x)= 3x. (d) Chain rule again but now g(x)= x+ 2.  

Tags 
derivative, function, unknown, values 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Gaussian Kernel function unknown symbols  hatsjoe  Linear Algebra  0  March 17th, 2014 07:28 AM 
Unknown Function  aaronmath  Calculus  8  October 12th, 2011 11:03 PM 
Derivative and table of values  rk183  Calculus  2  October 2nd, 2011 08:37 PM 
Matrix row reduction with unknown values  shadow85  Linear Algebra  5  January 24th, 2011 10:43 AM 
Derivative function  how do I insert values?  toulouse  Calculus  2  March 21st, 2009 08:42 AM 