how to find f(x) when f(1) is given

I have a problem

f(1) = 1

f'(1) = 4

g(x) = f(x)/x^3

what is g'(1)?

Answer 1

[KSSV]

g'(x) would be:

g'(x) = f'(x)/x^3-3*f(x)/x^4 ;  % remember uv rule 

So in the above substitute the given values:

g' = 4/1^3-3*1/1^4  % substitute the given values

[Oyundari Battulga]

Ok this makes sense, I should ve considered this as g(x) = f(x) * x^(-3) so i could apply uv rule!

Thank you!