matlab - Tidy up expression after differentiating -

the equations working in problem contain exponentials. reason, after differentiating appear again pretty unchanged apart additional constants , other factors. wondering if might possible collect exponentials name of expression part of. here example:

given function definition

f:= x -> a*exp(b/x) 

after differentiating, 1 get

a*exp(b/x)*(-b/x^2) 

and great if somehow convert to

f(x)*(-b/x^2) 

is possible mupad or other cas package?

it's easy in maple, use general substitution command algsubs

> f:= x -> a*exp(b/x) > g := diff(f(x), x) > algsubs(a*exp(b/x) = f, g) 

for more complex expressions, try collect