Find $f(x)$ given that $2f'(x)-3f'(1/x)=x$
Also, is it possible to do this without integration?
2026-04-06 19:31:43.1775503903
Find $f(x)$ from $2f'(x)-3f'(1/x)=x$
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Replace $ x $ by $1/x$, you will get two equations in two variables which here will be $f'(x) $ and $ f'(1/x)$
solve them to get $f'(x)$ and then use integration to get $f(x)$.