Wednesday, February 10, 2010

True or False. If f(x)= g(x)+c, then f'(x)=g'(x)?

Please explain how you get this answer...True or False. If f(x)= g(x)+c, then f'(x)=g'(x)?
[f(x+h) - f(x) ] = [g(x+h) + c -( g(x) + c) ] = [g(x+h) - g(x)]





thus TrueTrue or False. If f(x)= g(x)+c, then f'(x)=g'(x)?
d/dx(f(x) = f'(x) = d/dx(g(x) + c) = g'(x)











f'(x) and g'(x) are the gradient functions of f and g respectively. The addition of a constant does not affect the gradient function.
True





C is just a constant it cant change the shape of the function so therefore g(x) and f(x) are the same function so the slopes should be the same O.o
this is true


differentiate a constant which is the ';c'; here is 0

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