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mtayab1994
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Homework Statement
Prove that the functions: (u+v)'(x0) and αu and u*v are derivable.
Homework Equations
in other words prove that :
[tex](u+v)'(x_{0})=u'(x_{0})+v'(x_{0})[/tex]
[tex](\alpha u)'(x_{0})=\alpha u'(x_{0})[/tex]
[tex](u\cdot v)'(x_{0})=u'(x_{0})\cdot v(x_{0})+u(x_{0})\cdot v'(x_{0})[/tex]
The Attempt at a Solution
Can someone give me some heads up on how to start this proof and should i use the limit of (f(x)-f(x0))/x-x0 to prove this? We have never done f'(x)=lim as h approaches 0 of (f(x+h)-f(x))/h
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