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gingermom
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Homework Statement
d/dx[f(2x)]=f'(x) and f'(1)=1 find f'(2)
Homework Equations
The Attempt at a Solution
so I think this means the derivative of "f(2x)" equals f'(x)
if I find the derivative using the chain rule I would get
f'(2x)2= f'(x)
so f'(2x) = f'(x)/2
Here I am at a loss as to how to use the information about f'(1)=1 to find f'(2).
Do I just substitute 1 for f'(x) and then 1 for x in the f'(2x)? That would make the answer 1/2.
As you would have f'(2)=1/2 Is that correct? Am I trying to make this problem harder than it is?
Is the value of f'(2) the only value I could determine from this data? i.e. I could not determine the value of f'(3).
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