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 February 21st, 2014, 03:45 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, 04:53 AM   #2
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Re: Some values of derivative of unknown function f?

Quote:
 Originally Posted by shiseonji 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 What, exactly, is your difficulty? If you are asked to do a problem involving derivatives, I would expect that you know some basic derivative properties:
(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 ,

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# Complete the table by finding the unknown

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