K kjones New member Joined Jun 1, 2006 Messages 44 Jul 11, 2006 #1 I'm having problems with one more in this section. Consider the function f(x) = -x^2 + 4 e) Find f(a + h) - f(a)] / h Thank you. K
I'm having problems with one more in this section. Consider the function f(x) = -x^2 + 4 e) Find f(a + h) - f(a)] / h Thank you. K
A askmemath New member Joined Apr 28, 2005 Messages 31 Jul 12, 2006 #2 f(x) = -x^2 + 4 f(a+h) - f(a) -(a+h)^2 + 4 - [-(a)^2 +4] Can you solvc it from here?
K kjones New member Joined Jun 1, 2006 Messages 44 Jul 12, 2006 #3 Simplified further Not really, will you help me? Maybe it works this way...? . . .[f(a + h) - f(a)] / h . . .= (-2ah - h^2) / h . . .= h(2a + h) / h . . .= ??? K
Simplified further Not really, will you help me? Maybe it works this way...? . . .[f(a + h) - f(a)] / h . . .= (-2ah - h^2) / h . . .= h(2a + h) / h . . .= ??? K
A askmemath New member Joined Apr 28, 2005 Messages 31 Jul 12, 2006 #4 Re: Simplified further Eh?? -(a + h)^2 + 4 - [-(a)^2 + 4] -(a^2 + h^2 + 2ah) + 4 - [-a^2 + 4] -(a^2 + h^2 + 2ah) + 4 + a^2 - 4 -a^2 - h^2 - 2ah + 4 + a^2 - 4 -h^2 - 2ah Taking -h common -h(2a + h) which is your final answer
Re: Simplified further Eh?? -(a + h)^2 + 4 - [-(a)^2 + 4] -(a^2 + h^2 + 2ah) + 4 - [-a^2 + 4] -(a^2 + h^2 + 2ah) + 4 + a^2 - 4 -a^2 - h^2 - 2ah + 4 + a^2 - 4 -h^2 - 2ah Taking -h common -h(2a + h) which is your final answer
K kjones New member Joined Jun 1, 2006 Messages 44 Jul 12, 2006 #5 THANKS THANKS ...especially for working it step by step...baby steps. K
